Question

1. The curved surface area of a cylindrical pillar is 254 m and its volume is 924 m.
Find the diameter and the height of the pillar​

Answer 1

Answer:

curved surface area of cylinder = 264 m2

Answer 2

Answer:

$\huge\fbox\red{A}\fbox\orange{N}\fbox\blue{S} \fbox\pink{W}\fbox\green{E}\fbox\gray{R}</p><p> \:$

Curved surface area of a cylindrical pillar = 264m²

Volume of a cylindrical pillar = 924m³

Diameter & height of the pillar = ?

$\huge\fbox\pink{Solution} \:$

Let the radius & height of the pillar be ' r ' &' h ' cm

Vol of cylinder = 924m³

πr²h = 924 --------- ‹ 1 ›

Curved surface area = 264

2πrh = 264 ------- ‹ 2 ›

Divide EQ 1 by EQ 2

$= \frac{ {\pi \: r}^{2}h }{2\pi \: rh} = \frac{924}{264} \\ \\ = \frac{r}{2} = \frac{924}{264} \\ \\ = r = 7m$

Diameter = 2r

= 2 × 7

= 14

Put r = 7 in EQ 2

2πrh = 264

$2 \times \frac{22}{7} \times 7 \times h = 264 \\ \\ h = \frac{264}{44} = 6m$

Step-by-step explanation:

i hope it helps you :)

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