Question

asked Jan 25, 2023 139k views

2 Answers

David Z · Answer 1 · 2023-01-28T07:20:31+0000

Explanation:

Given :-

to find :-

Solution :-

Lateral surface area of cylinder = 2πrh

24π cm = 2πrh

Cancelling π on both the sides ,

24/2h = r

putting the value of h i.e, 4 cm

24/2×4 cm = r

3 cm = radius

Now volume of Cylinder = πr²h

putting all the values ,

Volume = 3.14 × 3² × 4 cm³

Volume = 113.04 cm³

Athlonshi · Answer 2 · 2023-01-31T10:44:35+0000

We are given –

We are asked to find volume of the given cylinder.

Let the radius be "r".Then according to the question,it’s given –

$\qquad$
$\pink{\twoheadrightarrow\bf Curved\: surface\: area _((Cylinder))= 2\pi r h }$

$\qquad$
$\twoheadrightarrow\sf 2\pi r h = 24 \pi$

$\qquad$
$\twoheadrightarrow\sf 2\cancel{\pi} rh = 24 \cancel{\pi}$

$\qquad$
$\twoheadrightarrow\sf r =(24)/(2h)$

$\qquad$
$\twoheadrightarrow\sf r = (24)/(2* 4)$

$\qquad$
$\twoheadrightarrow\sf r = (24)/(8)$

$\qquad$
$\twoheadrightarrow\sf r = \cancel{(24)/(8)}$

$\qquad$
$\pink{\twoheadrightarrow\bf r = 3 \: cm}$

Now, Let's find volume of cylinder

$\qquad$
$\purple{\twoheadrightarrow\bf V_((Cylinder)) = \pi {r}^(2)h}$

$\qquad$
$\twoheadrightarrow\sf V_((Cylinder)) = \pi * 3^2* 4$

$\qquad$
$\twoheadrightarrow\sf V_((Cylinder)) = \pi * 9 * 4$

$\qquad$
$\twoheadrightarrow\sf V_((Cylinder)) = \pi * 36$

$\qquad$
$\purple{\twoheadrightarrow\bf V_((Cylinder)) = 36 \pi \: cm^3}$

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