Ratio of the volume of 2 spheres is 64:27. Calculate the ratio of their surface area.
Share
Ratio of the volume of 2 spheres is 64:27. Calculate the ratio of their surface area.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
64:27 = 4^3:3^3
4/3Π(r1)^3 : 4/3Π(r2)^3 = 4^3:3^3
(r1)^3= 4^3
(r2)^3 = 3^3
r1 = 4 , r2 = 3
surface area of sphere= 4Πr^2
(r1)^2 = 16 , (r2)^2 = 9
so, ratio =
4Π16/4Π9
= 16/9 = 16:9
Answer: 16:9
for steps, please refer to the photo attached above