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Volume of Revolution

Total questions: 7

Worksheet time: 8mins

Name
Class
Date
1.

a)

A

b)

B

c)

C

2.

if this triangle is rotated about the x axis, what figure is formed?

a)

pyramid

b)

cylinder

c)

cone

d)

frustum

3.

what figure was rotated about the y axis to produce this cylinder?

a)

cylinder

b)

rectangle

c)

square

d)

triangle

4.

what figure is formed when this circle is rotated around the x axis?

a)

frustum

b)

circle

c)

sphere

d)

cylinder

5.

if this 2D shape was rotated around the x axis, what common object would it resemble?

a)

box

b)

bowl

c)

pyramid

d)

triangle

6.

What is the volume of this solid of revolution?

a)

π28 (x2)2dx\pi\int_2^8\ \left(x-2\right)^2dx

b)

π28 (x+2)2dx\pi\int_2^8\ \left(x+2\right)^2dx

c)

28 (x2)2dx\int_2^8\ \left(x-2\right)^2dx

d)

π28 (x+2)dx\pi\int_2^8\ \left(x+2\right)^{ }dx

7.

What is the volume of this cylinder?

a)

250π250\pi

b)

100π100\pi \

c)

5π5\pi

d)

2503π\frac{250}{3}\pi