Volume of Cylinders, Cones, Spheres lessons

Volume of Cylinders, Cones, and Spheres

​Supplies:

1. Calculator

2. Whiteboard/Marker

RADIUS

DEFINITION: The distance halfway across a circle- from center to circumference (half the diameter).

FORMULA: Diameter/2

DIAMETER

DEFINITION: The full distance across a circle -from one side to the opposite side passing through the center

FORMULA: Radius x 2

Pi

DEFINITION: The circumference divided by the diameter on any circle-same #, never terminates or repeats

FORMULA: Approximately 3.14

Multiple Choice

What is a straight line that goes through the center of a circle from side to opposite side?

• Diameter

• Circumference

• Radius

• Center

Multiple Choice

Does this picture show the diameter or radius of a circle?

• Diameter

• Radius

Multiple Choice

What is the line that goes from the center of a circle to any point on the circle?

• Diameter

• Circumference

• Chord

• Radius

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

Is the red line a radius or diameter of the circle?

• Radius

• Diameter

Multiple Choice

What is the radius?

• 18

• 72

• 38

• 14

Multiple Choice

What is the diameter?

• 8

• 16

• 10

• 4

Multiple Choice

What is the diameter?

• 5 in

• 10 in

• 3.14 in

• 15.84 in

Volume of Cylinder

Approximate Volume

Multiple Choice

What is this formula used to find?
V=πr²h

• The volume of a cylinder

• The volume of a cone

• The volume of a sphere

• The area of a circle

Multiple Choice

What is the radius of the cylinder?

• 10 cm

• 5 cm

• 12 cm

• 6 cm

Multiple Choice

Which is the correct set up for the volume of the cylinder?

• $$V=\pi\times8\times15^2$$

• $$V=\pi\times8^2\times15$$

• $$V=\pi\times8\times15$$

Multiple Choice

Which cylinder has a larger volume?

• Cylinder A

• Cylinder B

• Equal Volume

• Not enough information

Multiple Choice

Use 3.14 for π. Round answers to the nearest tenth if necessary.

A can of chili has a radius of 5.25 cm and a height of 13 cm. Find the volume.

• 358.3 cm³

• 214.3 cm³

• 1125.1 cm³

Multiple Choice

What is the exact volume of the cylinder?

• 41.6π cm³

• 418 cm³

• 133.12π cm³

Multiple Choice

What's the volume of the cylinder?

• $$V=588\pi$$

• $$V=1008\pi$$

• $$V=168\pi$$

• $$V=1846\pi$$

Multiple Choice

A can of pasta has a diameter of 3 inches and a Volume of 50 cubic inches of sauce. What is the height of the can? Round your answer to the nearest tenth.

• 1.8 inches

• 5.3 inches

• 10.6 inches

• 7.1inches

Multiple Choice

 A cylinder has a height of 12 inches and a radius of 2.5 inches. What is the volume of the cylinder? Use 3.14 for pi and Round your answer to the nearest tenth. 

• $$V=188.4\ in^3$$  

• $$V=235.5\ in^3$$  

• $$V=75\ in^3$$  

• $$V=94.2\ in^3$$  

Multiple Choice

What is the radius of the cylinder on the image?

• 9 in

• 6 in

• 3 in

• 4.5 in

Volume of Cone

Multiple Choice

What is the formula for Volume of a Cone?

• V=π r³h

• V=π r²h

• V=(1/3)π r²h

• V=(4/3)π r³

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 12.56 ft³

• 37.68 ft³

• 18.84 ft³

• 6.28 ft³

Multiple Choice

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

• 29.3 $$m^3$$

• 88 $$m^3$$

• 14.7 $$m^3$$

• 44 $$m^3$$

Multiple Choice

A cone has a height of 30 in. and a diameter of 20 in. What is the approximate volume of the cone?

• 600 in³

• 1,885 in³

• 3,142 in³

• 12,566 in³

Multiple Choice

v = ?

***Remember to take half of the diameter to get the radius.***

• 2,144.66 m³

• 1,608.49 m³

• 536.17 m³

• 498.62 m³

Multiple Choice

What is the volume of the cone?

• 107 in³

• 480 in³

• 160 in³

• 53 in³

Multiple Choice

• $$18.67\pi\ cm^3$$

• $$32.67\pi\ cm^3$$

• $$98\pi\ cm^3$$

• $$175.84\pi\ cm^3$$

Multiple Choice

Find the volume of the cone. (**hint: you must first find the radius using pythagorean theorem). Use 3.14 for pi. Round to the nearest tenth.

• 266.3 ft³

• 209.3 ft³

• 235.2 ft³

• 176.4 ft³

Multiple Choice

$$A\ cone\ has\ a\ volume\ of\ 320\pi\ mm^3\ and\ a\ base\ radius\ of\ 9mm.$$  What is the height of the cone? Round the the nearest whole number.

• 10 mm

• 9 mm

• 12 mm

• 11 mm

Volume of Spheres

Multiple Choice

Pictured is the formula for the volume of a ____________.

• sphere

• cone

• cylinder

• pyramid

Multiple Choice

Find the volume of the given sphere.

• 418.7 cubic ft

• 3,984.6 cubic ft

• 4,188.8 cubic ft

• 4,319.8 cubic ft

Multiple Choice

If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.

• 345.8

• 523.6

• 1436

• 205.1

Multiple Choice

Find the Volume of the Sphere

• 904.32 ft³

• 7,234.56 ft³

• 150.72 ft³

Multiple Choice

A golf ball has a diameter of 1.68 inches. What is the volume of the golf ball? Use 3.14 for pi and round your answer to the nearest hundredth.

• 19.85 in³

• 2.95 in³

• 2.48 in³

• 11.82 in³

Multiple Choice

An inflated spherical shaped balloom is filled with 112 in³ of air. What is the radius of the balloon? Use 3.14 for pi and round your answer to the nearest inch.

• 3 in

• 5 in

• 2 in

• 4 in

Multiple Choice

What is the volume of the sphere? Round your answer to the nearest tenth.

• 1071.8 ft³

• 200.9 ft³

• 4287.1 ft³

• 17,148.6 ft³

Volume of a Hemisphere

Multiple Choice

$$V\ =\frac{2}{3}\pi r^3$$  What is this formula used to find?

• The volume of a cylinder

• The volume of a cone

• The volume of a sphere

• The volume of a hemisphere

Multiple Choice

Find the volume of the hemisphere. Use 3.14 for pi and round your answer to the nearest tenths.

• 523.3 yd³

• 32.7 yd³

• 65.4 yd³

• 87.2 yd³

Multiple Choice

Find the volume of the hemisphere

(round to the nearest tenth)

• 904.3 in³

• 226.1in³

• 113.0 in³

• 452.2 in³

Multiple Choice

Find the volume of a HEMIsphere with a radius of 4.

use 3.14 for pi

• 267.98 units³

• 196.88 units³

• 133.97 units³

• 25.13 units³

Multiple Choice

Find the volume of the HEMISPHERE (diameter = 24cm)

use 3.14 for pi

• V= 28,938.24 cm³

• V= 2,712.96 cm³

• V= 7,234.56 cm³

• V= 3,617.28 cm³

Multiple Choice

Find the volume of the given hemisphere.

use 3.14 for pi

• 1,216.7 cubic in.

• 879.6 cubic in.

• 991.4 cubic in.

• 1,071.79 cubic in.