Question

The volume of a cylinder is 5,544 cm and
its height is 16 cm. Find its radius and hence,
its curved surface area.​

Answer 1

Answer:

$\huge{\pink{\boxed{\boxed{\boxed{\purple{\underline{\red{\mathfrak{r=14.5</p><p>csa=1458.28}}}}}}}}}$

Step-by-step explanation:

$volume \: of \: cylinder(v)\pi \: r {}^{2} h$

$5544 = 22 \div 7(r {}^{2} 16) \\ 5544 \times 7 \div 22 = r {}^{2} 16 \\ 504 \times 7 \div 16 = r {}^{2}$

$r {}^{2} = 252 \times 7 \div 8 \\ r {}^{2} = 63 \times 7 \div 2 \\ r {}^{2} = 441 \div 2 \\ r {}^{2} = 220.2$

$r = 14.84$

$csa \: of \: cylinder = 2\pi \: rh \\ \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 22 \div 7 \times 14.5 \times 16$

$csa \: of \: cylinder = 1458.28$

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Answer 2

Answer:

1056cm²

Step-by-step explanation:

Volume of cylinder = 22/7*r^2*h

5544=22/7*r^2*16

r=21/2cm

Now,

Curved Surface area = 2*22/7*r*h

=2*22/7*21/2*16

=1056cm²