| Exam Board | SPS |
|---|
| Module | SPS FM Pure (SPS FM Pure) |
|---|
| Year | 2023 |
|---|
| Session | June |
|---|
| Topic | Connected Rates of Change |
|---|
6. A spherical balloon is inflated so that its volume increases at a rate of \(10 \mathrm {~cm} ^ { 3 }\) per second.
Find the rate of increase of the balloon's surface area when its diameter is 8 cm .
[0pt]
[For a sphere of radius \(r\), surface area \(= 4 \pi r ^ { 2 }\) and volume \(= \frac { 4 } { 3 } \pi r ^ { 3 }\) ].
[0pt]
[BLANK PAGE]