A metal container is in the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius of the cylinder is 3.5 m. Calculate the total surface area of the container.

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Solution

Radius of the cylinder = 3.5 m
Height = 7 m
(i) Total surface area of container excluding the base = Curved surface area of the cylinder + area of hemisphere

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Q. With reference to the given figure. a metal container in the form of a cylinder is surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and internal radius is 3.5 m. Calculate: [4 MARKS]
(i) The total area of the internal surface excluding the base
(ii) The internal volume of the container in

m^{3}

(U s e π = \frac{22}{7})

Q. With reference to the figure given above a metal container in the form of a cylinder is surmounted by hemisphere of the same radius. The internal height of the cylinder is

7 m

and the internal radius is

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(i) the total area of the internal surface excluding the base:
(ii) The internal volume of the container in

m^{3}

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(Take

π

to be

\frac{22}{7}

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A metal container is in the form of a cylinder surmounted by a hemisphere of the same radius. The internal height of the cylinder is 7 m and the internal radius of the cylinder is 3.5 m. Calculate the total surface area of the container.

Radius of the cylinder = 3.5 m Height = 7 m (i) Total surface area of container excluding the base = Curved surface area of the cylinder + area of hemisphere

Radius of the cylinder = 3.5 m
Height = 7 m
(i) Total surface area of container excluding the base = Curved surface area of the cylinder + area of hemisphere