Home
Class 12
MATHS
The radius of a spherical soap bubble is...

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm`//`sec. Find the rate of increase of its surface area, when the radius is 7 cm. (`pi` = 3.141 approx)

Text Solution

Verified by Experts

The correct Answer is:
`=35.1792 cm^2//sec`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-1 (PRACTICE QUESTIONS) (4 MARK Questions)|9 Videos

  • APPLICATION OF DERIVATIVES

    ARIHANT PRAKASHAN|Exercise TOPIC-1 (PRACTICE QUESTIONS) (6 MARK Questions)|7 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PRAKASHAN|Exercise Chapter Test |11 Videos

Similar Questions

Explore conceptually related problems

The radius of a spherical soap bubble is increasing at the rate of 0.2cm/sec. Find the rate of increase of its surface area, when the radius is 7cm. ( pi=3.141 approx)

A balloon is pumped at the rate of 2 cm^3// minute. Write the rate of increase of the surface area, when the radius is 0.5 cm.

The volume of a spherical balloon is increasing at the rate of 25 cm^(3)//s . Find the rate of change of its surface area at the instant, when its radius is 5 cm.

A balloon is pumped at the rate of 2 cm^3// min. .Write the rate of increase of the surface area, when the radius is 0.5 cm.

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference ?

The radius of a circle is increasing at the rate of 0.9 cm/s. What is the rate of increase of its circumference ?

An edge of a variable cube is increasing at the rate of 10cm//sec . Find the rate of increase of the volume of the cube when the edge is 5 cm long.