Question

tha base area of a cone is 38.5 cm2 . its volume is 77 cm3 . find its height

Answer 1

A cone has 1/3rs area of a cylinder of same height and same radius.

Hence, volume of cone = 1/3 × πr²h

Given that the volume is 77 cm³

=> 1/3 × πr²h = 77

base area = 38.5 cm²

=> πr² = 38.5 cm²

So let us put the value of πr² in the equation

=> 1/3 × 38.5 × h = 77

=> h = 77 × 3/38.5

=> h = 6 cm


Hope it helps dear friend ☺️✌️

Answer 2

Hello Mate!

So, base area of cone = πr² = 38.5 cm²

Volume of cone = ⅓ πr²h = 77 cm³

Volume of cone = ⅓ × πr² × h

77 cm³ = ⅓ × 38.5 × h

77 × 3 × 1 / 38.5 = h

2 × 3 = h

6 cm = h

So height if cone is 6 cm.

Have great future ahead!