IB Maths AA AI HL. Ex.24 volume of revolution, differential equation. (1m11 2-14) a glass of water.

An open glass is created by rotating the curve y=x^2 , defined in the domain x∈[ 0,10], 2π radians about the y-axis. Units on the coordinate axes are defined to be in centimetres.
(a) When the glass contains water to a height h cm, find the volume V of water in terms of h .
(b) If the water in the glass evaporates at the rate of 3 cm3 per hour for each cm2 of exposed surface area of the water, show that,
(c) If the glass is filled completely, how long will it take for all the water to evaporate?

[selinbayramova]

Can you solve the November 2023 Math AA HL Paper 1 please? Specifically question 6 proof by mathematical induction.