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
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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