Question

4. The volume of a cylinder is 9.5 m cube, rounded to the nearest tenth of a cubic

meter. Which diagram shows the cylinder?

Answer 1

Answer: Choice D

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Step-by-step explanation:

You'll have to go through each answer choice one by one to check if those dimensions lead to to a volume of roughly 9.5 m^3

For choice A, we have a radius of 0.7/2 = 0.35 meters and a height of 6.2 meters. The volume of the cylinder is pi*r^2*h = 3.14*(0.35)^2*6.2 = 2.38483 which rounds to 2.4 cubic meters. We can rule out choice A because we want 9.5 as a result instead of 2.4

We follow the same steps for choices B through D. You should find that choice D is the answer because:

V = pi*r^2*h = 3.14*(1.4/2)^2*6.2 = 9.53932 which rounds to 9.5 m^3.

Note the 1.4/2 is dividing the diameter 1.4 in half to get the radius.