In the diagram above, a coloured light on an ambulance car is made up of a hemisphere mounted on a cylinder of the same radius. Calculate the surface area if the cylinder has a radius 7 cm and a height 3 cm.
Attached Figure / Diagram
Verified Correct Answer: .
Step-by-Step Mathematical Solution
From the given figure:
The surface area = the surface area of the cylinder + the surface area of the hemisphere
= 2\(\pi\)rh + 2\(\pi\)r\(^2\)
= 2 x \(\frac{22}{7}\) x 2 x \(\frac{22}{7}\) x 7 x 7 ≈ 440cm\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #78177)