Question

A cone has a volume of 144 in3 and a diameter of 12 inches. Wilson states that a cylinder with the same height and diameter has the same volume. Which statement explains whether or not Wilson is correct

Answer 1

Answer:

No

Step-by-step explanation:

Given:

Volume of cone = 144 in³

Diameter of 12 inch

Find:

Volume of cylinder[Same height and radius] is 144 in³ or not

Computation:

Volume of cone = [1/3][π][r²][h]

144 = [1/3][3.14][(12/2)²][h]

144 = 37.68 h

Height of cone = 3.82

Volume of cylinder[Same height and radius] = [π][r²][h]

Volume of cylinder[Same height and radius] = [3.14][6²][3.82]

Volume of cylinder[Same height and radius] = 431.81

Volume of cylinder[Same height and radius] = 432 in³

So,

Volume of cylinder[Same height and radius] is not 144 in³