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Unit 3 review (Volume & Pythagorean theorem)

Total questions: 12

Worksheet time: 10mins

Name
Class
Date
1.

What is the Volume of this shape, Round to the nearest tenths place

a)

502.7

b)

1256.6

c)

745.9

d)

432.2

2.

What is the formula for a cone's volume?

a)

V= π×r2×h\pi\times r^2\times h

b)

a2+b2=c2a^2+b^2=c^2

c)

V= 43×π×r3\frac{4}{3}\times\pi\times r^3

d)

V= 13×π×r2×h\frac{1}{3}\times\pi\times r^2\times h

3.

Find the value of c, round to the nearest whole number.

a)

14

b)

9

c)

11

d)

15

4.

If an image has a hypotnuse of 21 and a leg of 15 what is the length of the missing side, round to the nearest tenths place

a)

21.2

b)

36.9

c)

17.4

d)

14.7

5.

What is the formula to find the volume of a sphere

a)

V= 24×π×r2\frac{2}{4}\times\pi\times r^2  

b)

V= π×r2×h\pi\times r^2\times h  

c)

V= 43×π×r3\frac{4}{3}\times\pi\times r^3  

d)

V= 13×π×r2×h\frac{1}{3}\times\pi\times r^2\times h  

6.

Find the value of D, using the Pythagorean theorem, round to the nearest tenths place

a)

15.1

b)

228

c)

15.09

d)

228.7

7.

There is a ladder set an angle on the side on a house the house is 20 feet tall and the shadow it casts is 15ft, how long is the ladder.

a)

30

b)

25

c)

17.2

d)

20.5

8.

The Pythagorean theorem can only be in what Triangle.

a)

Acute Triangles

b)

Obtuse Triangles

c)

All Triangles

d)

Right Triangles

9.

Name all of the parts of the triangle in the Pythagorean theorem.

a)

Radius

b)

Hypotenuse

c)

π\pi

d)

Legs

10.

Edgar is walking home to his house from school, he walked south 5 miles and east 8 miles, if he went diagonally how many miles would he have walked?

a)

9.4 miles

b)

3.6 miles

c)

13.4 miles

d)

7.2 miles

11.

What is the Volume of this cone

(If you have a decimal round to the tenth)

a)

67

b)

36219.1

c)

1206.4

d)

384

12.

What is the Formula for Pythagorean

Theorem

a)

A2+B2=C2

b)

A+B=C

c)

A2+B2=C

d)

A2=B2+C2