Question

a prism has a height of 10 centimeters and a base area of 40 square centimeters. what is the volume of the cylinder that has the same cross - section area and height? use the keypad to type your answer in the box provided. the volume of cylinder is cubic centimeters.

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V = A\times h\), where \(A\) is the base (cross - section) area and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(A = 40\space cm^{2}\) and \(h=10\space cm\). Then \(V=40\times10\).

Step3: Calculate the volume

\(V = 40\times10=400\)

Answer:

400