Question

A cone has a volume of 2,355 cubic inches and a height of 10 inches. How many inches is the diameter of the cone

Answer 1

Hello there,

Okay well first we right down what we already know:

 - volume of 2,355 cubic inches

 - the height is 10 inches

Now we write down the equation for the volume of a cone: V = πr²$\frac{h}{3}$

• lets plug in what we know into the equation

                                     2,355 = πr²$\frac{10}{3}$

• now we simplify to solve for r

                          2,355 / 10/3 = 706.5 = πr²

                           706.5/π = r²= 224.89

• now since its r² we take the square root of 224.89

                            r = 15 inches

• for diameter we multiply 15 by 2

                           diameter = 30 inches

Hope I helped,

Amna