Question

2. What is the volume of the cone, rounded to the nearest cubic inch? (1 point) 72 in.³ 226 in.³ 905 in.³ 2,714 in.³

Answer 1

We asked to solve the volume of the cone and we know that the formula for solving the volume is shown below:
V = 1/3*pi*r²*h where "r" for the radius and "h" for the height

We have the given values such as:
r= diameter/2 = 12/2
r= 6 inches
h=6 inches

Solving for the volume:
V= 1/3 *pi*6²*6
V=72pi in³

The answer is the letter "A" 72pi inches³.

Answer 2

Option (b) is correct.

In nearest cubic inches Volume of cone is 226 in³

Explanation:

Given: A come with base diameter 12 inch and height 6 inch.

We have to find the volume of the given cone and choose the correct option from the given options.

Volume of cone is given by

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

Since, given diameter = 12 inch

radius is half of diameter

that is r = 6 inch

And height = 6 inch

Thus, Substitute, we have,

`V=(1)/(3)\cdot (6)^2\cdot 6`

Simplify, we have,

V= 226.19

In nearest cubic inches Volume of cone is 226 in³