Question 59

The radius of a sphere is equal to the radius of the base as well as the height of a right circular cylinder. What is the ratio of surface area of sphere and curved surface area of cylinder respectively?

Solution

Value of $$ \pi = \frac{22}{7} $$

Surface area of sphere = $$ 4 \times \frac{22}{7} \times r^2 $$

Curved surface area of cylinder = $$ 2 \times \frac{22}{7} \times r \times h $$

Radius of sphere =r

Radius of base of cylinder = r

Height of the cylinder = r

ratio of surface area of sphere and curved surface area of cylinder, 

  = $$ 4 \times \frac{22}{7} \times r^2 $$ : $$ 2 \times \frac{22}{7} \times r \times r $$

= 4 : 2

= 2:1


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