Question

The object below is made of solid plastic. It is a cylinder with an indentation at the top

in the shape of a cone.

What is the volume to the nearest tenth of a cubic inch, of the plastic object?​

Answer 1

Answer: 97.6 in3

Explanation:

Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:

Volume of a cylinder: π (diameter /2) ^2 (height)

Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3

Volume of a cone = 1/3 π (diameter /2) ^2 (height)

V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3

Finally:

Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3

Feel free to ask for more if needed or if you did not understand something.