Home
Class 12
MATHS
An inverted cone has a depth of 40 cm an...

An inverted cone has a depth of 40 cm and a base of radius 5 cm. Water is poured into it at a rate of 1.5 cubic centimetres per minutes. Find the rate at which the level of water in the cone is rising when the depth is 4 cm

A

0.5 cm/sec

B

`5//pi cm/sec`

C

`5//8 pi cm/sec`

D

`8//3pi cm//sec`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c.per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm.

A cone has a depth of 15cm and a base of 6cm radius.Water is poured into it at the rate of (16)/(5)pi cc/min. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

A conical vessel whose height is 4 metres and of base radius 2 metres is being filled with water at the rate of 0.75 cubic metres per minute.Find the rate at which the level of the water is rising when the depth of water is 1.5 metres.?

An inverted conical vessel whose height is 10 cm and the radius of whose base is 5 cm is being filled with water at the uniform rate of 1.5cm^(3)//min . Find the rate at which the level of water in the vessel is rising when the depth is 4 cm.

A water tank has the shape of an inverted right - circular cone with its axis vertical and vertex lower most. Its semi - vertical angle is tan^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.

A right circular cone has a depth of 12cms and a base radius of 9cms .Water is poured into it at the rate of 1(1)/(2)c.c per second.Find the rate of rise of water level and rate of increase of water surface,when the depth of the water level is 4cms .

A water tank has the shape of an inverted righ circular cone with its axis vertical and vertex lowermost . Its semi-vertical angle is tan^(-1)(0.5) . Water is poured into it at a constant rate of 4 cubic meter per hour . Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 2 m.

Whater is poured into an inverted cone of semi-vertical angle 45^(@) at rate of 2 cu. in . /min .The rate at which the depth of water in the cone is increasing when the depth is 4 in. is