Question 105

The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. Then the radius of the sphere (in cm) is

Solution
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Let radius of the sphere be R. 

Hence, according to given data, we get 
$$4\cdot\pi\ \cdot R^2=2\cdot\pi\ \cdot6\cdot12$$
where, the 6 in RHS is the radius of the cylinder and 12 is the height

Solving the above equation, we get R = 6

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