Question

find the total surface area and volume of the cylinder if area of the base = 616 cm square and height = 3m

Answer 1

hi mate your answer is given in the picture

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Answer 2

The total surface area and volume of the cylinder are 27632 sq,cm and  184800 cubic cm respectively.

Step-by-step explanation:

Area of base of cylinder =$\pi r^2$

We are given that area of the base = 616 cm sq.

$\pi r^2 = 616$

$\frac{22}{7} r^2 = 616$

$r^2 = \frac{616 \times 7}{22}$

$r=\sqrt{\frac{616 \times 7}{22}}$

r=14 cm

Height = 3 m = 300 cm

Total surface area of cylinder =$2 \pi rh +2 \pi r^2 = 2 \times \frac{22}{7} \times 14 \times 300 + 2 \times \frac{22}{7} 14^2=27632 sq.cm.$

Volume of cylinder = $\pi r^2 h = \frac{22}{7} \times 14^2 \times 300 = 184800 cm^3$

Hence the total surface area and volume of the cylinder are 27632 sq,cm and  184800 cubic cm respectively.

#Learn more:

Find the volume of the cylinder if its total surface area is 616 CM square and curved surface area is 308 CM square​

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