14. The surface areas of two spheres are in the ratio 1:4. Then find the ratio of their volumes. About the author Sophia
Answer: Consider r and R as the radii of two spheres We know that 4πr2/ 4πR2 = ¼ So we get (r/ R)2 = (1/ 2)2 It can be written as r/ R = ½ Consider V1 and V2 as the volumes of the spheres So we get V1/ V2 = (4/3 πr3)/ (4/3 πR3) We can write it as (r/ R)3 = (1/ 2)3 = 1/8 Therefore, the ratio of their volumes is 1: 8.Read more on Sarthaks.com – https://www.sarthaks.com/721668/the-surface-areas-of-two-spheres-are-in-the-ratio-1-4-find-the-ratio-of-their-volumes Step-by-step explanation: Reply
Answer:
Consider r and R as the radii of two spheres We know that 4πr2/ 4πR2 = ¼ So we get (r/ R)2 = (1/ 2)2 It can be written as r/ R = ½ Consider V1 and V2 as the volumes of the spheres So we get V1/ V2 = (4/3 πr3)/ (4/3 πR3) We can write it as (r/ R)3 = (1/ 2)3 = 1/8 Therefore, the ratio of their volumes is 1: 8.Read more on Sarthaks.com – https://www.sarthaks.com/721668/the-surface-areas-of-two-spheres-are-in-the-ratio-1-4-find-the-ratio-of-their-volumes
Step-by-step explanation: