Volumes of two spheres are in the ratio of 27:64. What is the ratio of their surface area ?
Answers
Answer:
Step-by-step explanation:
Volumes of two spheres are in the ratio of 27:64.
the radius of sphere are in the ratio 3:4
the ratio of their surface area 9:16
Answer:
9:16
Step-by-step explanation:
Volume of sphere =
Since we are given that volume of two sphere are in the ratio of 27:64.
⇒
⇒
⇒
⇒
Thus the ratio of the radii is 3:4
Let the ratio be x
So radii are 3x and 4x
Surface area of sphere =
Surface area of sphere of radius 3x=
=
Surface area of sphere of radius 4x=
=
Ratio of their surface area =
=
=
Hence the ratio of their surface area is 9:16