Question

A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top.
which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of
which is a sphere of radius 05 cm are dropped into the vessel, one-fourth of the water
flows out. Find the number of lead shots dropped in the vessel​

Answer 1

Answer:

10.

Step-by-step explanation:

V. of cone = 1/3 × pi × (r)^2 × h = 0.3 × 3.14 × (5)^2 × 8 = 0.942 × 25 × 8 = 0.942 × 200 = 188.4 cm^3

V. of sphere = 4/3 × pi × (r)^3 = 1.3 × 3.14 × (5)^3 = 4.082 × 125 = 510.25 cm^3

V. of water that flowed out of cone = 1/4 of V. of cone = 188.4 ÷ 4 = 47.1 cm^3

No. of lead shots = V. of sphere ÷ V. of water that flowed out of cone = 510.25 ÷ 47.1 = 10.83

The answer is 10 lead shots.

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