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?

97.6 in3

Step-by-step 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.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: