Home
Class 12
MATHS
A spherical iron ball of radius 10 cm ,...

A spherical iron ball of radius 10 cm , coated with a layer of ice of uniform thickness , melts at a rate of `100picm^(3)//min` . The rate at which the thickness decreases when the thickness of ice is 5 cm , is a)1 cm/min b)2 cm/min c)`(1)/(376)` cm/min d)5 cm/min

A

1 cm/min

B

2 cm/min

C

`(1)/(376)` cm/min

D

5 cm/min

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm^(3)//min . When the thickness of ice is 5 cm, then find the rate at which the thickness of ice decreases.

Gas is being pumped into a spherical balloon the rate of 30ft^(3)//min . Then the rate at which the radius increases when it reaches the value 15 ft is a) (1)/(15pi)ftmin b) (1)/(30pi)ft//min c) (1)/(20)ft//min d) (1)/(25)ft//min

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

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 10 cm.

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.

The radius of a cylinder is increasing at the rate of 5 cm/min so that its volume is constant. When its radius is 5 cm and height is 3 cm, then the rate of decreasing of its height is a)6 cm/min b)3 cm/min c)2cm/min d)5 cm/min

A spherical bubble is decreasing in volume at the rate of 2cm^3//sec . Find the rate of which the suraface area is diminishing when the radius is 3 cm.

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at the rate of 0.05 cm / s. Find the rate at which its area is increasing when radius is 3.2 cm.

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