Question

Find the diameter of a cone that has a volume of 83.74 cubic inches and a height of 5 inches. use 3.14 for pi. (1 point) 3 inches 4 inches 8 inches 16 inches

Answer 1

Volume of cube = 1/3 * pi * r^2 * h
83.74 = 1/3 x 3.14 x r^2 x 5 = 5.233r^2
r^2 = 83.74/5.233 = 16
r = sqrt(16) = 4

Answer: d = 2(4) = 8 inches.

Answer 2

Answer: 8 inches

Explanation:

The volume of a cone is given by :-

`\text{Volume}=(1)/(3)\pi r^2 h`, where r is radius and h is height of the cone.

Given : The volume of cone = 83.74 cubic inches

The height of cone = 5 inches

Then by using the above formula , we have

`83.74=(1)/(3)(3.14) r^2 5\\\\\Rightarrow\ r^2=(3*83.74)/(3.14*5)\\\\\Rightarrow\ r^2=16.0012738854\approx16\\\\\Righatrrow\ r=√(16)=4\text{ inches}`

Diameter of cone =
`2r=2(4)=8\text{ inches}`

Hence, the diameter of cone = 8 inches