OCR C3 2011 January — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2011
SessionJanuary
TopicNon-constant acceleration

3 A giant spherical balloon is being inflated in a theme park. The radius of the balloon is increasing at a rate of 12 cm per hour. Find the rate at which the surface area of the balloon is increasing at the instant when the radius is 150 cm . Give your answer in \(\mathrm { cm } ^ { 2 }\) per hour correct to 2 significant figures.
[0pt] [Surface area of sphere \(= 4 \pi r ^ { 2 }\).]