### Question

#### The surface area of a sphere increases at the rate of 1 sq. ft per second, then the rate of increase of volume when the radius is is

- 3 cubic ft/sec
- 2 cubic ft/sec
- cubic ft/sec
- cubic ft/sec

### Hint:

The surface area of a sphere is defined as the region covered by its outer surface in three-dimensional space. A Sphere is a three-dimensional solid having a round shape, just like a circle. The formula of total surface area of a sphere in terms of pi (**π**) is given by:

Surface area = 4 π r2 square units |

#### The correct answer is: cubic ft/sec

#### We know that,

Surface area of sphere(S) =

## Book A Free Demo

Grade*

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