Q:

A cylinder and a sphere have the same radius and volume. The height of the cylinder is 12 cm. What is the volume of the sphere rounded to the nearest whole number? Pls help !

Accepted Solution

A:
Answer:3054Step-by-step explanation:The formula for cylinder volume is V1 = π * r^2 *h while formula for sphere volume is  V2= 4/3 *  π  * r^3 Since the height of the cylinder is 12, we can substitute h the equation into V1 = π * r^2 *12 The volume and radius of the cylinder are the same as the sphere, so we can combine both equations to find r.  V1= V2 π * r^2 *12 =  4/3 *  π  * r^3  12 = 4/3 * r r= 12*3/4 r=9 After we find the radius, we can find the sphere volume V2= 4/3 *  π  * r^3  V2= 4/3 *  π  * 9^3  V2=  3053.62 = 3054