Question

If the volume and curved surface area of a cylinder are 616 m3 and 352 m2 respectively, what is the total surface area of the cylinder

Answer 1

Answer: 429 m^2

Step-by-step explanation is in the enclosed image.

Answer 2

The total surface area of the cylinder is 429 sq.m.

Step-by-step explanation:

Curved surface area of cylinder =$2 \pi r h$

We are given that Curved surface area of cylinder is 352 sq.m.

So,$2 \pi r h = 352\\\pi rh = \frac{352}{2}\\\pi rh = 176$

Volume of cylinder =$\pi r^2 h = \pi rh r = 176r$

We are given that Volume of cylinder is 616 cubic m

So, 176r = 616

$r = \frac{616}{176}$

r=3.5 m

$\pi rh = 176\\\frac{22}{7} \times 3.5 \times h = 176\\h = \frac{176 \times 7}{22 \times 3.5}$

h=16 m

Total surface area of cylinder =$2 \pi rh +2 \pi r^2 = 2 \times \frac{22}{7} \times 3.5 \times 16 + 2 \times \frac{22}{7} \times 3.5^2 =429 sq.m.$

Hence the total surface area of the cylinder is 429 sq.m.

#Learn more:

The ratio of the curved surface area to the total surface area of a right circular cylinder is 1:2. find the volume of the cylinder, if its total surface area is 616 cm2.

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