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A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for π.


A.
75.36 in.3

B.
150.72 in.3

C.
226.08 in.3

D.
301.44 in.3

A cone sits inside a cylinder as shown They share the same height and radius What is the volume of the cylinder not taken up by the cone Use 314 for π A 7536 in class=

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Answer:

B. 150.72 in.^3

Step-by-step explanation:

Volume of cylinder:

V=pi*r^2*h

V=pi*3^2*8

V=pi*9*8

V=226.08

Volume of cone:

    The volume of a cone is 1/3 the volume of a same dimension cylinder, so we can save time by just dividing our previous answer by 3. So: 226.08/3=75.333. 226.08-75.333 ~ 150.72. This answer is not perfect, but because it is a multiple choice, we can cut some corners.

Answer:

B. 150.72 in.3

Step-by-step explanation: