Problem

f. Given a shed that has the shape of a cylinder sumounted by a cones (i) Find the volume of the shed in cubic metres, and give your answer correct to three decimal places. $(3$ marks (ii) Convert the volume calculated in (i) to the nearest litre. (1 mark

Solution

Step 1 :Calculate the volume of the cylinder: V_cylinder = π * r1^2 * h1 = π * 5^2 * 10 = \(785.3981633974483\) cubic meters

Step 2 :Calculate the volume of the cone: V_cone = (1/3) * π * r2^2 * h2 = (1/3) * π * 5^2 * 5 = \(130.89969389957471\) cubic meters

Step 3 :Add the volumes of the cylinder and the cone: V_shed = V_cylinder + V_cone = \(785.3981633974483\) + \(130.89969389957471\) = \(916.297857297023\) cubic meters

Step 4 :Convert the volume to litres: V_shed_litres = V_shed * 1000 = \(916297.8572970231\) litres

Step 5 :Round the volume of the shed to three decimal places: V_shed_rounded = \(\boxed{916.298}\) cubic meters

Step 6 :Round the volume in litres to the nearest litre: V_shed_litres_rounded = \(\boxed{916,298}\) litres

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Source: https://solvelyapp.com/problems/35061/

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