Question

Find the dimensions please

Answer 1

Answer:

b) Diameter = 6 inches and height 3 inches

Step-by-step 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

$V=\frac{1}{3} \pi r^2h$

replacing the values

$\pi=3.14$

$28=\frac{1}{3} \times 3.14 \times r^2 \times 3$

$r^2=\frac{28}{3.14}$

$r^2=8.909$

$r=2.98$

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

$V=\frac{1}{3} \pi r^2h$

replacing the values

$\pi=3.14$

$28=\frac{1}{3} \times 3.14 \times r^2 \times 6$

$r^2=\frac{28}{3.14 \times 2}$

$r^2=4.45$

$r=2.11$

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