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The three-dimensional figure below is a cylinder with a hole in the shape of a rectangle prism going through the center of it. The radius is 10 feet. Find the volume of the solid and cubic feet. Use 3.14 for pi.

The threedimensional figure below is a cylinder with a hole in the shape of a rectangle prism going through the center of it The radius is 10 feet Find the volu class=

Respuesta :

samuelonum1

Answer:

4488ft^3

Step-by-step explanation:

Given data

Dimension of the hole

Length= 5ft

Width= 3ft

Height= 15ft

Volume of Hole=L*W*H

Volume of Hole= 5*3*15

Volume of Hole= 225ft^2

Volume of cylinder

Radius= 10ft

Height = 15ft

Volume of cylinder= πr^2h

Volume of cylinder= 3.142*10^2*15

Volume of cylinder= 3.142*100*15

Volume of cylinder= 4713ft^3

Hence the volume of the shape is

Volume of shape= Volume of cylinder- Volume of hole

Volume of shape= 4713-  225

Volume of shape= 4488ft^3

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