PYQ Vault
EbooksTutor

Water poured into a conical tank: rate at which the wet curved surface area increases

The same question, asked 2 times: 25 Jun 2022*, 27 Jul 2022. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jun 2022

    161
    Water is being filled at the rate of 1 cm3/sec1{\text{ }cm}^{3}/sec in a right circular conical vessel (vertex downwards) of height 35 cm35\text{ }cm and diameter 14 cm14\text{ }cm. When the height of the water level is 10 cm10\text{ }cm, the rate (in cm2/seccm^{2}/sec) at which the wet conical surface area of the vessel increases is

    Tap an option to check your answer.

  2. Question 2

    27 Jul 2022

    175
    A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semivertical angle is tan⁡−134\tan^{- 1}\frac{3}{4}. Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (in square meter per hour), at which the wet curved surface area of the tank is increasing, when the depth of water in the tank is 4 meters, is