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Volume Summer School

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
A farmer has a cylindrical tank for storing grain. It is 40 feet tall and has a diameter of 35 feet. What is the volume of the tank?
a)
153938.04 ft3
b)
36316.81 ft3
c)
51312.68 ft3
d)
12828.17 ft3
2.
Shadrach is having a party and filling cone shaped cups with candy for his friends. He has 24 hats to fill. Each one is 5 inches tall and has a radius of 3 inches. How many cubic inches of candy will he need to fill all the hats? 
a)
47.12 in3
b)
1130.97 in3
c)
58.26 in3
d)
2247.38 in3
3.
A class is learning about volume of spheres and are comparing a basketball and baseball. The basketball ball has a radius of 7 inches. The baseball has a diameter of 4 inches. What is the difference in volumes?  
a)
1436.76 in3
b)
33.51 in3
c)
1403.24 in3
d)
1168.67 in3
4.
Find the volume of a cylinder that has the diameter of 11 meters and is 15 meters tall. 
a)
1900.7 m3
b)
475.2 m3
c)
5702 m3
d)
1425.5 m3
5.
The earth has a diameter of 7917.5 miles. What is it's approximate volume? 
a)
2.1 x 1012 mi3
b)
2.6 x 1011 mi3
c)
2.6 x 10-11 mi3
d)
2.1 x 10-12 mi3
6.
A cone shaped paper cup has a radius of 4 cm. It can hold a volume of 100.53 cm3 of water. What is the height of the cone?
a)
4 cm
b)
5 cm
c)
6 cm
d)
7 cm
7.
If a box has a length of 5 inches, a width of 4 inches and a height of 11 inches, what is the volume of the box? 
a)
40 in3
b)
220 in3
c)
105 in3
d)
55 in3
8.
If a rectangular prism fish tank can hold 72 feet3 of water and has a height of 8 feet and a width of 3.6 feet, what is the length?
a)
2 ft
b)
2.5 ft
c)
3 ft
d)
2073.6 ft
9.
A cylinder has a volume of 935.19 cubic meters. It has a radius of 6.1 meters. What is the height? 
a)
5 m
b)
6 m
c)
7 m
d)
8 m
10.
What is the volume of a cone with a diameter of 7 inches and a height of 8.2 inches? 
a)
105.2 in3
b)
246.4 in3
c)
492.9 in3
d)
420.7 in3
11.
What is the volume of a shoe box with the dimensions of 8.3 inches, 4.5 inches, and 6.7 inches?
a)
147.9 in3
b)
241.8 in3
c)
250.2 in3
d)
365.9 in3
12.
If a sphere has a volume of 659.58 km3 what is the radius? 
a)
4.3 km
b)
8.9 km
c)
3.2 km
d)
5.4 km