Question

A cylinder is 10 cm high and base area 75 cm2. What is the volume of the cone having the same height and base area? 250 cm3 500 cm3
375 cm3
275 cm3
200 cm3​

Answer 1

Answer:

250cm³

Step-by-step explanation:

Volume of cone = (1/3) πr2h

Volume of cylinder = π r2h

Base area of cylinder = πr2

Volume of cone = (1/3) × volume of cylinder

Volume of cylinder = Base area × height

Given, cylinder is 10 cm high and base area 75 cm2.

⇒ Volume of cylinder = 75 × 10 = 750 cm3

∴ Volume of cone = 750/3 = 250 cm3

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