Volume & Surface Area (Yr 9 Ace)

Authored by Sean Fernandez

Mathematics

9th Grade

CCSS covered

Used 2+ times

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10 questions

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MATH RESPONSE QUESTION

2 mins • 1 pt

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$2290.22$

Mathematical Equivalence

OFF

Answer explanation

$V=\pi r^2h$
$V=\pi\times9^2\times9$
= ???

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$367.57$

Mathematical Equivalence

OFF

Answer explanation

$V=\pi r^2h$
$V=\pi\times3^2\times13$
= ???

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$904.78$

Mathematical Equivalence

OFF

Answer explanation

$V=\pi r^2h$
Think carefully about the size of the radius in this question before substituting into the question.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Find the volume of this portion of a cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$294.52$

Mathematical Equivalence

OFF

Answer explanation

$V=\pi r^2h$
Think carefully how much of a whole cylinder this portion is.
The right angle in the corner gives you a hint.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Calculate the volume of the sphere pictured. Round your answer to two decimal places.
Formula
$V=\frac{4}{3}\pi r^3$

$268.08$

Mathematical Equivalence

Answer explanation

$V=\frac{4}{3}\pi r^3$
Make sure you are correctly substituting in the size of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Calculate the volume of the cone pictured. Round your answer to two decimal places.
Formula
$V=\frac{1}{3}\pi r^2h$

$121.46$

Mathematical Equivalence

Answer explanation

$V=\frac{1}{3}\pi r^2h$
substitute r=4.1 and h= 6.9 correctly in to formula and solve

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

25L of water is poured into a rectangular prism fish tank which is 50cm long, 20cm wide and 20cm high. How much water will overflow?
Type your answer as a number only, without units
1L = 1000cm³

$5$

Mathematical Equivalence

OFF

Answer explanation

Volume of rectangular prism
$V=l\times w\times h$
Once you have found the volume of the fish tank (rectangular prism), work out how many litres this is equal to
1L = 1000cm³

Tags

CCSS.7.G.B.6

MATH RESPONSE QUESTION

2 mins • 1 pt

How many litres of gas can a tanker carry if it has a cylindrical tank that is 200 cm in diameter and 1200 cm in length? Round to the nearest litre (whole number)
Type your answer as a number only, without units
1L = 1000cm³

$37699$

Mathematical Equivalence

OFF

Answer explanation

Volume of cylinder
$V=\pi r^2h$
Once you have found the volume of the gas tank, work out how many litres this is equal to
1L = 1000cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

MATH RESPONSE QUESTION

2 mins • 1 pt

Find the surface area of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=2\pi r^2+2\pi rh$

$552.92$

Mathematical Equivalence

OFF

Answer explanation

$V=2\pi r^2+2\pi rh$
Think carefully about the size of the radius, and then substitute this correctly in to the formula above.

10.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Using your surface area answer from the last question (rounded to 2 decimal places), find the total cost of painting the outside of this cylinder if paint costs $5 per litre and one litre covers an area of 7.5m². Round your answer to the nearest dollar (whole number)
Formula
$V=2\pi r^2+2\pi rh$

(a)

Answer explanation

$V=2\pi r^2+2\pi rh$
Think carefully about the size of the radius, and then substitute this correctly in to the formula above.
1 litre = 7.5m² of paint, so calculate the amount of litres needed for this surface area.
Once you know how many litres needed, then work out the cost if it costs $5 per litre.

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Volume & Surface Area (Yr 9 Ace)

Find the volume of this cylinder. Round to 2 decimal places and type your answer without units.Formula V=πr2hV=\pi r^2hV=πr2h

V=πr2hV=\pi r^2hV=πr2h V=π×92×9V=\pi\times9^2\times9V=π×92×9 = ???

Find the volume of this cylinder. Round to 2 decimal places and type your answer without units.Formula V=πr2hV=\pi r^2hV=πr2h

V=πr2hV=\pi r^2hV=πr2h V=π×32×13V=\pi\times3^2\times13V=π×32×13 = ???

Find the volume of this cylinder. Round to 2 decimal places and type your answer without units.Formula V=πr2hV=\pi r^2hV=πr2h

V=πr2hV=\pi r^2hV=πr2h Think carefully about the size of the radius in this question before substituting into the question.

Find the volume of this portion of a cylinder. Round to 2 decimal places and type your answer without units.Formula V=πr2hV=\pi r^2hV=πr2h

V=πr2hV=\pi r^2hV=πr2h Think carefully how much of a whole cylinder this portion is.The right angle in the corner gives you a hint.

Calculate the volume of the sphere pictured. Round your answer to two decimal places.Formula V=43πr3V=\frac{4}{3}\pi r^3V=34​πr3

V=43πr3V=\frac{4}{3}\pi r^3V=34​πr3 Make sure you are correctly substituting in the size of the radius.

Calculate the volume of the cone pictured. Round your answer to two decimal places.Formula V=13πr2hV=\frac{1}{3}\pi r^2hV=31​πr2h

V=13πr2hV=\frac{1}{3}\pi r^2hV=31​πr2h substitute r=4.1 and h= 6.9 correctly in to formula and solve

25L of water is poured into a rectangular prism fish tank which is 50cm long, 20cm wide and 20cm high. How much water will overflow?Type your answer as a number only, without units1L = 1000cm3

Volume of rectangular prism V=l×w×hV=l\times w\times hV=l×w×h Once you have found the volume of the fish tank (rectangular prism), work out how many litres this is equal to1L = 1000cm3

How many litres of gas can a tanker carry if it has a cylindrical tank that is 200 cm in diameter and 1200 cm in length? Round to the nearest litre (whole number)Type your answer as a number only, without units1L = 1000cm3

Volume of cylinder V=πr2hV=\pi r^2hV=πr2h Once you have found the volume of the gas tank, work out how many litres this is equal to1L = 1000cm3

Find the surface area of this cylinder. Round to 2 decimal places and type your answer without units.Formula V=2πr2+2πrhV=2\pi r^2+2\pi rhV=2πr2+2πrh

V=2πr2+2πrhV=2\pi r^2+2\pi rhV=2πr2+2πrh Think carefully about the size of the radius, and then substitute this correctly in to the formula above.

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Discover more resources for Mathematics

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$V=\pi r^2h$
$V=\pi\times9^2\times9$
= ???

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$V=\pi r^2h$
$V=\pi\times3^2\times13$
= ???

Find the volume of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$V=\pi r^2h$
Think carefully about the size of the radius in this question before substituting into the question.

Find the volume of this portion of a cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=\pi r^2h$

$V=\pi r^2h$
Think carefully how much of a whole cylinder this portion is.
The right angle in the corner gives you a hint.

Calculate the volume of the sphere pictured. Round your answer to two decimal places.
Formula
$V=\frac{4}{3}\pi r^3$

$V=\frac{4}{3}\pi r^3$
Make sure you are correctly substituting in the size of the radius.

Calculate the volume of the cone pictured. Round your answer to two decimal places.
Formula
$V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\pi r^2h$
substitute r=4.1 and h= 6.9 correctly in to formula and solve

25L of water is poured into a rectangular prism fish tank which is 50cm long, 20cm wide and 20cm high. How much water will overflow?
Type your answer as a number only, without units
1L = 1000cm³

Volume of rectangular prism
$V=l\times w\times h$
Once you have found the volume of the fish tank (rectangular prism), work out how many litres this is equal to
1L = 1000cm³

How many litres of gas can a tanker carry if it has a cylindrical tank that is 200 cm in diameter and 1200 cm in length? Round to the nearest litre (whole number)
Type your answer as a number only, without units
1L = 1000cm³

Volume of cylinder
$V=\pi r^2h$
Once you have found the volume of the gas tank, work out how many litres this is equal to
1L = 1000cm³

Find the surface area of this cylinder.
Round to 2 decimal places and type your answer without units.
Formula
$V=2\pi r^2+2\pi rh$

$V=2\pi r^2+2\pi rh$
Think carefully about the size of the radius, and then substitute this correctly in to the formula above.