Question

the curved surface area of a right circular cylinder of height 14 cm is 88cm2 what is the diameters
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Answer 1

ANSWER:

• Diameter of the cylinder = 2 cm.

GIVEN:

• C.S.A of cylinder = 88 cm².

• Height = 14 cm

TO FIND:

• Diameter of the cylinder.

EXPLANATION:

C.S.A of cylinder = 2πrh

Radius = r

Diameter = d = 2r

Height = 14 cm

2πrh = 88

d = (7 × 88) ÷ (22 × 14)

d = 4/2

d = 2 cm

HENCE THE DIAMETER OF THE CYLINDER= 2 cm.

SOME MORE FORMULAE:

• C.S.A of cone = 1/3πrl [ Here l is the slant height and  $l = \sqrt{r^2 + h^2}$ ]

• C.S.A of sphere = 4πr²

• C.S.A of hemisphere =2πr²

• Voulme of cone = 1/3 πr²h

• Voulme of cylinder = πr²h

• Volume of sphere = 4/3 πr³

• Volume of hemisphere = 2/3 πr³

NOTE : REFER ATTACHMENT FOR DIAGRAM.

Answer 2

$\tt \huge \underline \blue{answer}$

$\bf \green{height(h) \: of \: cylinder = 14cm}$

$\bf \green{let \: radius \: of \: cylinder \: be \: r}$

Given:-

$\bf \red{curved \: surface \: area \: of \: cylinder \: = 88 \: {cm}^{2} }$

$\bf \red{2\pi \: rh = 88 {cm}^{2} }$

$\bf \red{2 \times \frac{22}{7} \times r \times 14 \: cm = 88}$

$\bf \red{r = \frac{88 \times 7}{2 \times 22 \times 14} }$

$\bf \red{r = 1 \: cm}$

$\bf \orange{diameter = 2 \times radius}$

$\bf \orange{d = 2 \times 1 = 2cm}$

$\bf \huge \pink{diameter \: of \: the \: base \: of \: the \: cylinder \: is \: 2 \: cm}$

Extras:-

$\bf \huge\star \green{curved \: surface \: area \: of \: cylinder \: is \: 2\pi \: rh}$

$\bf \huge\star \green{total \: surface \: area \: of \: cylinder \: is \: 2\pi \: r(r + h)}$

$\bf \huge\star \green{volume \: of \: cylinder \: is \: \pi \: {r}^{2} h}$