The surface area of a sphere is π sq.cm.If it's radius is doubled,by how much does its surface area increase?

Mathematics

1 answer:

IceJOKER [234]3 years ago

8 0

Answer:

Doubling the radius of a sphere will increase its surface area 4 times

Step-by-step explanation:

The surface area of a sphere with radius r is given by the formula:

$SA = 4\pi r^2$

Doubling the radius means: r=> 2r

Putting the new radius the new surface area will be:

$SA_1 = 4\pi (2r)^2\\SA_1 = 4\pi (4r^2)\\SA_1 = 4(4\pi r^2)\\SA_1 = 4(SA)$

The new surface area with double radius is 4 times of the old surface area with r.

Hence,

Doubling the radius of a sphere will increase its surface area 4 times

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