Question

Learning Diagnostic Analytics GA Recommendations Math Pa Skill plans Social studies Language arts Science Eighth grade > T.11 Volume of cones YYR A cone has a volume of 602.88 cubic centimeters and a height of 16 centimeters. What is its radius? Use 3.14 and round your answer to the nearest hundredth. centimeters Submit

Answer 1

6cm

Step-by-step explanation:

The below formula can be used to determine the volume of a cone;

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

Given V which is the volume of the cone as 602.88cm^3 and the height(h) as 16cm, let's go ahead and solve for radius(r) using the below steps;

Multiply both sides by 3;

`3V=\pi* r^2* h`

Divide both sides by the product of pi and h;

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

Take the square root of both sides;

`r=\sqrt[]{(3V)/(\pi h)}`

Substitute the given values and solve for r;