Question

The volume of a solid cylinder is 1584 cm3 and its height is 14 cm . Find the tsa

Answer 1

volume of cylinder=πr^2h
1584. =22÷7×14×r^2
1584×7÷22×14=r^2
36=r^2
6cm=r

tea. =2πr(r+h)
= 2×22÷7(6+14)
=125.714 sq.cm


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Answer 2

Given :

The volume of a solid cylinder is 1584 cm3 and its height is 14 cm

To Find :

Find the tsa

Solution:

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

Height of cylinder = 14 cm

Volume of cylinder =$\pi r^2 (14)$

We are given that The volume of a solid cylinder is 1584 cm3

So, $\pi r^2 (14) = 1584\\\frac{22}{7} \times r^2 \times 14 = 1584\\r^2 =\frac{1584 \times 7}{22 \times 14}\\r=\sqrt{\frac{1584 \times 7}{22 \times 14}}\\r=6$

Total surface area of cylinder = $2 \pi r h + 2 \pi r^2 = 2 \times \frac{22}{7} \times 6 \times 14+ 2 \times \frac{22}{7} \times 6^2=754.285 sq.cm.$

Hence The total surface area of cylinder is 754.285 sq.cm.