Question:If the radius of a sphere is doubled, then its surface area is increased by : 

A `50%` 
B `100%` 
C `200%` 
D `300%` 

+ Answer
D 

+ Explanation
Let original radius be R. Then, original area`= 4π R^2.`

New radius`= 2R,` New area`= 4π (2R)^2`

`= 16 π R^2.`

Increase %`= ((12π R^2)/(4π R^2) xx 100)%`

`= 300%`.

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Irin Moni

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