The diagram shows a gutter which is to be fitted to the roof of George's house.

The diagram shows a gutter which is to be fitted to the roof of George's house.

The gutter has a cross-section which is a semicircle with diameter 20cm

How many liters of water can the gutter hold?

Find the volume of a cylinder = (area of cross section × height)

Make sure all your units are the same (convert 10m into cm).

volume of a cylinder = π x (10^2) x 1000 = 314,000 cubic cm

Bear in mind you don't have a whole cylinder here.

so

314,000 cubic cm x 0.5 = 157,000 cubic cm

Then remember 1 cubic cm =1 ml

so 157,000 cubic cm = 157,000 ml

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