Question

If the curved surface area of a cylinder is 2750cm² and the circumference of the base is 110cm. find:
i It's height
ii It's volume​

Answer 1

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ɢɨʋɛռ

• C.S.A of cylinder = 2750cm^2

• Circumference of base = 110cm

ȶօ ʄɨռɖ

• Height = ?

• Volume = ?

ֆօʟʊȶɨօռ

Circumference of circle = 110

$2\pi \times r = 110$

$2 \times \frac{22}{7} \times r = 110$

$r = 110 \times \frac{7}{44}$

$r = 17.5$

C.S.A of cylinder = 2750cm^2

$2\pi \times r \times h = 2750$

$2 \times \frac{22}{7} \times 17.5 \times h = 2750$

$\frac{770}{7} \times h = 2750$

$h = 2750 \times \frac{7}{770}$

$h = \frac{2750}{110}$

$h = 25$

Volume of cylinder

$\pi \times {r}^{2} \times h$

$\frac{22}{7} \times {17.5}^{2} \times 25$

$\frac{22}{7} \times 306.25 \times 25$

${24062cm}^{3}$