Home
Class 14
MATHS
The radius of a balloon is increasing at...

The radius of a balloon is increasing at the rate of 10 cm/sec. At what rate is the surface area of the balloon increasing when the radius is 15 cm?

A

1200 pi cm^2 / sec

B

120 pi cm^2 / sec

C

150 pi cm^2 / sec

D

1500 pi cm^2 / sec

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    RS AGGARWAL|Exercise question|15 Videos

  • SIMPLE INTEREST

    RS AGGARWAL|Exercise All Questions|124 Videos

  • SQUARE ROOTS AND CUBE ROOTS

    RS AGGARWAL|Exercise All Questions|219 Videos

Similar Questions

Explore conceptually related problems

The radius of spherical balloon is increasing at the rate of 5 cm per second. At what rate is the surface of the balloon increasing, when the radius is 10 cm?

The radius of an air bubble is increasing at the rate of 0.5 cm/sec. At what rate is the volume of the bubble increasing when the radius is 1 cm?

The surface area of a spherical balloon is increasing at the rate of 2 (cm^2)/sec . At what rate the volume of the balloon is increasing when the radius of the balloon is 6 cm?

The radius of an air bubble is increasing at the rate of (1)/(2)cm/s At what rate is the volume of the bubble increasing when the radius is 1cm?

The surface area of a spherical balloon is increasing at the rate of 2" cm"^(2)//"sec" . At what rate is the volume of the ballon is increasing, when the radius of the ballon is 6 cm ?

A spherical soap bubble is expanding so that its radius is increasing at the rate of 0.02 cm/sec. At what rate is the surface area increasing when its radius is 5 cm ? (Take pi = 3.14 )

The radius of a circle is increasing uniformly at the rate of 4 cm/sec. Find the rate at which the area of the circle is increasing when the radius is 8 cm.

The radius of a circle is increasing uniformly at the rate of 3cm/s. Find the rate at which the area of the circle is increasing when the radius is 10cm.

6) The volume of a spherical balloon is increasing at the rate of 20cm/sec. Find the rate of change of its surface area at the instant when its radius is 8cm.