Question

if the radius of a sphere is doubled, then its surface area is increased by ______?
(A) 300% (B) 200% (C) 100% (D) 50% ​

Answer 1

Answer:

option A 300 %

Step-by-step explanation:

Let a sphere

radius = r

then its surface area will be

A = 4πr^2

if you doubled the radius

radius = 2r

then its surface area will be

A' = 4π(2r)^2

A' = 16πr^2

% increase = [(A' -A )/A] × 100

= [(16πr^2 - 4πr^2)/ 4πr^2 ] × 100

= 300

So it will increase by 300 %

Answer 2

Answer:

300%

Step-by-step explanation:

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