Question

find the capacity in liters of a conical vessel having height 8 cm and slant height 10 cm

Answer 1

Capacity = Volume of conical vessel

Radius = √  slant height² -Height²
Radius = √ 10² - 8² = √ 100 - 64 = √36 = 6 cm

Volume = 1/3πr²h = 1/3 x 22/7 x 6² x 8 = 1/3 x 22/7 x 36 x 8 = 452.57 cubic cm

In liters = 0.45 liters

Hope This Helps You!

Answer 2

Hi there !!

Height = h = 8 cm

Slant height = l = 10 cm

Radius = r

We know that

l² = h² + r²

r² = l² - h²
 
    = 10² - 8²
 
    = 100 - 64
    
     = 36 cm

r = √36

r = 6 cm

Radius = r = 36 cm

Capacity = Volume of the conical vessel = 1/3πr²h
               
               = 1/3 × 22/7 × 36 × 36 × 8
 
               = 452.57 cm ³[approx.]
               = 0.45 litres