Question

What happens to the surface area of a sphere if the radius is​ tripled

Answer 1

Step-by-step explanation:

In the case of a sphere if the radius is tripled the surface becomes (3r)^2 or 9-fold.

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Answer 2

The correct answer is surface area becomes 9 times of initial.

Given: Radius of sphere is tripled.

To Find: Final surface area.

Solution:

Surface area of sphere: $A=4\pi r^{2}$

Radius = r

Radius when tripled = 3r.

Initial surface area = $A=4\pi r^{2}$

Final surface area.

A = $4\pi (3r)^{2}$

$A = 4\pi (9r^{2} )$

$A =9( 4\pi r^{2} )$

$A =9(Initial volume)$

Hence, the surface area becomes 9 times of initial.

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