Question

Find the capacity in litres of a conical vessel having height 8 cm and slant height 10 cm.​

Answer 1

Answer Expert Verified

Answer:

0.30144 liters.

Step-by-step explanation:

Given : Height of cone = 8 cm.

To Find : Capacity.

Solution:

Hence the capacity in liters of a conical vessel having height 8 cm and slant height 10 cm is 0.30144 liters.

Answer 2

S O L U T I O N :

Given :

• A conical vessel height, (h) = 8 cm
• A conical vessel slant height, (l) = 10 cm

Explanation :

As we know that formula of the volume of cone:

• Volume = 1/3πr²h [cubic unit]

According to the question :

Using formula of the slant height for get radius of cone ;

• Slant height,(l) = √(r)² + (h)²

➝ (l)² = (r)² + (h)²

➝ (10)² = (r)² + (8)²

➝ 100 = r² + 64

➝ r² = 100 - 64

➝ r² = 36

➝ r = √36

➝ r = 6 cm

Now,

➝ Volume of cone = 1/3πr²h

➝ Volume of cone = 1/3 × 22/7 × 6 × 6 × 8

➝ Volume of cone = 1/3 × 22/7 × 6 × 6 × 8

➝ Volume of cone = 22 × 288/21

➝ Volume of cone = 6336/21

➝ Volume of cone = 301.71 cm³

• As we know that, 1cm³ = 0.001litres

➝ (301.71 × 0.001) litres

➝ 0.30171 litres .

Thus,

The capacity of conical vessel having 0.30171 litters .