Question

Find the dimensions please

Answer 1

b) Diameter = 6 inches and height 3 inches

Explanation:

we are given the Volume of the cone as 28 and asked to determine the possible combination from the options. In these two options there are two different heights given . We will determine the radius or diameter for these two heights and thus can find the possible correct combination.

The two heights are

h= 3 in and h = 6 in

Volume V=28 c in

Part 1: When height h = 3 in

Formula for Volume of a cone is give as

`V=(1)/(3) \pi r^2h`

replacing the values

`\pi=3.14`

`28=(1)/(3) * 3.14 * r^2 * 3`

`r^2=(28)/(3.14)`

`r^2=8.909`

`r=2.98`

Diameter D = 2r = 5.96 ≈ 6 in

Hence Option B) is correct in first part. Let us see for the next part

Part 2:

V=28 c in , h= 6 in

Formula for Volume of a cone is give as

`V=(1)/(3) \pi r^2h`

replacing the values

`\pi=3.14`

`28=(1)/(3) * 3.14 * r^2 * 6`

`r^2=(28)/(3.14 * 2)`

`r^2=4.45`

`r=2.11`

Diameter D = 2r = 4.22 inches

Hence none of the last two options are close to the answer.

Hence our final answer is b) Diameter = 6 inches and height 3 inches