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Surface Area/Volume Spheres & Area/Volume Similar Figures Quiz

Total questions: 10

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

SA = 94

SA = 846

V = 1620

The surface area of two similar figures is given. The volume of the larger figure is given. Find the volume of the smaller figure.

(a)  

2.

Find the surface area. Can be rounded to the nearest tenth or in terms of pi.

(use the word "pi" with a space)

(a)  

3.

Find the volume. You can leave your answer in terms of pi or rounded to the nearest tenth.

( use the word "pi" and put a space between number and word)

(a)  

4.

V= 3

V = 375

SA = 4

The volumes of two similar figures is given. The surface area of the smaller figure is given. Find the surface area of the larger.

(a)  

5.

A softball has surface area of 25 π\pi  . What is the diameter of the softball?

(a)  

6.

Two figures have volumes of 128 π\pi  and 686 π\pi  . What is the scale factor?

(remember use ":" no spaces)

(a)  

7.

Two figures have a surface are of 150 and 294. What is the ratio of their volumes?

(remember use ":" no spaces)

(a)  

8.

The volume of a sphere is 972 π\pi  . What is the radius?

(a)  

9.

If two similar figures have heights of 9 and 12, what is the ratio of their surface areas?

(remember use ":" and no spaces)

(a)  

10.

Find the volume of a hemisphere with diameter 18. You can leave your answer in terms of "pi" with a space or rounded to the nearest tenth.

(a)