Question

"Question 9 A right circular cylinder just encloses a sphere of radius r (see figure). Find (i) surface area of the sphere, (ii) curved surface area of the cylinder, (iii) ratio of the areas obtained in (i) and (ii).

Class 9 - Math - Surface Areas and Volumes Page 225"

Answer 1

Given:

Radius of sphere=r

Radius of cylinder= Radius of sphere=r

Height of cylinder= diameter= 2r

 

(i)   The surface area of the sphere with radius r (A1)= 4πr²

(ii)

 Curved surface of cylinder (A2)=2πrh

= 2π × r × 2r
= 4πr²

(iii) Required ratio of the areas = A1:A2

= 4πr²:4πr² = 1:1

Ratio of the areas obtained= 1:1

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Answer 2

Answer:

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