Question

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

Answer 1

Answer for your question is in the image. For better practice buy and practice"R.D. Sharma".

Answer 2

Answer:

0.30144 liters

Step-by-step explanation:

Given : Height of cone = 8 cm

            Slant height = l = 10 cm

To Find : Capacity

Solution:

Volume of cone = $\frac{1}{3} \pi \times l^2-h^2 h$

Height of cone = 8 cm

Slant height = l = 10 cm

Substitute the values in the formula

Volume of cone = $\frac{1}{3} \times 3.14 \times 10^2-8^2 \times 8$

                          = $\frac{1}{3} \times 3.14 \times 100-64 \times 8$

                          = $\frac{1}{3} \times 3.14 \times 36 \times 8$

                          = $301.44$

So, volume of cone = 301.44 cubic cm

1 cubic cm = 0.001 liters

301.44 cubic cm = $301.44 \times 0.001$

                           = $0.30144$  

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