Instructions

In each of the questions, a question is followed by two statements I and II. Give your answer

Question 156

What is the volume of the sphere?
I. The surface area of the sphere is equal to area of the circle with radius 5 cm.
II. The radius of the sphere is equal to the perimeter of a square.

Solution

Surface area of sphere is$$=4\pi\ r^2$$.

I. $$r=5$$.

Area of sphere$$=4\pi\ \times\ 5^2=100\pi\ .$$

II.

Perimeter of square $$=4a.\left(a=length\ of\ side\right).$$

So, from statement II we cant say what is the value of radius of sphere.

So, Option A is correct.

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What is the volume of the sphere?I. The surface area of the sphere is equal to area of the circle with radius 5 cm.II. The radius of the sphere is equal to the perimeter of a square.