Question

What is the surface area of a sphere with a volume of 3680 cubic centimeters?

Answer 1

Given that the volume is 3680 cm³, find radius:


`\text { Formula for volume of a sphere =} (4)/(3) \pi r^3`


`(4)/(3) \pi r^3 = 3680`


`r^3 = 3680 / (4 \pi )/(3)`


`r^3 = 3680 * (3)/(4 \pi )`


`r^3 = (2760)/(\pi )`


`r = 9.58 \text { cm (Nearest hundredth)}`

With radius, find surface area:


`\text {Surface area = } 4 \pi r^(2)`


`\text {Surface area = } 4 \pi (9.58)^(2)`


`\text {Surface area = } 1153.30 \text { cm (Nearest hundredth)}`