Question

If the radius and the height of a cone both are increased by 10% then the volume of the cone increases by ____. Give answer by explanation.

Answer 1

Volume of cone = πr²h/3
New radius = 11r/10
new height = 11h/10
So new V = π(11r/10)²)(11h/10)(1/3)
                = π(121r/100)(11h/10)(1/3)
                 =  π 1331rh/3000
Percentage increase = (New volume/Old volume     * 100) -100
                                  = (π/3 * 3/π *1331/1000 * rh/rh   * 100) -100
                                   = (1331/1000   * 100) -100
                                = 133.1 -100
                                  = 33.1%

Answer 2

Answer:

Step-by-step explanation: