# The ratio of the total surface area of a sphere and a hemisphere of same radius is - Mathematics

MCQ

The ratio of the total surface area of a sphere and a hemisphere of same radius is

• 2 : 1

• 3 : 2

•  4 : 1

• 4 : 3

#### Solution

In the given question,

The total surface area of a sphere (S1) = 4 $\pi r^2$

The total surface area of a hemisphere (S2) = 3 $\pi r^2$

So the ratio of the total surface area of a sphere and a hemisphere will be,

S_1/S_2 = (4 pi r^2)/ (3 pi r^2)

= 4/3

Therefore, the ratio of the surface areas is 4: 3 .

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Q 3 | Page 25