a.
To find: The ratio of volumes of two spheres with radii in the ratio 2:5.
a.
Answer to Problem 10PSB
The ratio of the volumes of two spheres is
Explanation of Solution
Given Information:
Ratio of radii of two spheres = 2:5
Formula used:
Volume of a sphere
Calculation:
Let
It is given that
Volume of a sphere
where,
So, volume of the
And, volume of the
Now, ratio of volumes of two spheres is
Hence, the ratio of the volumes of two spheres is
b.
To find: The ratio of surface areas of two spheres with radii in the ratio 2:5.
b.
Answer to Problem 10PSB
The ratio of the surface areas of two spheres is
Explanation of Solution
Given Information:
Ratio of radii of two spheres = 2:5
Formula used:
Surface area of a sphere
Calculation:
Let
It is given that
Now, Surface area of a sphere
So, surface area of the
And, surface area of the
Now, ratio of surface areas of two spheres is
Hence, the ratio of the surface areas of two spheres is
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