Question

find the curved surface area and total surface area of a cylinder whose volume is 30800 centimeter cube and radius of the base is 14 centimeter​

Answer 1

Answer:

Given: Volume of cylinder = 30800cu.cm

r= 14 cm

Step-by-step explanation:

$volume \: of \: cylinder \: = \pi \: r {}^{2} h \\ \: \: \: \: \: \: \: \: \: \:30800 = \: \frac{22}{7} \times 14 \times 14 \times h \\ \: \: \: \: \: \: \: \\ \: \: \: \: \frac{30800 \times 7}{22 \times 14 \times 14 } = h \\ \: \: \: \: \: \: h = \: 50 \\ \\ curved \: surface \: area \: of \: cylinder \: = \: 2\pi \: r \: h \: \\ \: \: \: \: \: \: \: \: \: \: = \: 2 \times \frac{22}{7} \times 14 \times 50 \\ \: \: \: \: = 2400 \: sq \: cm \\ total \: surface \: area \: of \: cylinder \: = \: 2\pi \: r \: (r \: + \: h) \\ \: \: \: \: \: \: \: \: \: \: \: = \: 2 \times \frac{22}{7} \times 14 \times (14 + 50) \\ \: \: \: \: \: = 2 \times \frac{22}{7} \times 14 \times 64 \\ \: \: \: \: \: = 5632 \: sq \: cm \:$

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Answer 2

Answer is 5632

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