Question

The curved surface area and volume of a cylindrical pillar is 550 sq cm and 1375 cm3 . Find its diameter and height.

Answer 1

Hope this answer helps you..

Answer 2

Diameter = 5 cm and height = 17.5 cm

Step-by-step explanation:

Curved surface area of the cylinder = 550 cm²

⇒ 2πrh = 550 ------- (1)

Volume of the cylinder = 1375 cm³

⇒ π²rh = 1375 ---------(2)

Divide (2) by (1), we get

$\frac{\pi r^2 h}{2\pi rh} =\frac{1375}{550}$

$\Rightarrow \frac{\pi \times r^{2} \times h}{2 \times \pi \times r \times h}=\frac{1375}{550}$

Common terms get canceled.

$\Rightarrow \frac{r}{2}=\frac{5}{2}$

⇒ r = 5 cm

Diameter = 2 × 5

Diameter = 10 cm

Substitute r = 5 in (1),

⇒ 2π × 5 × h  = 550

$\Rightarrow h=\frac{550 \times 7}{22 \times 2\times5}$

⇒ h = 17.5 cm

Diameter = 5 cm and height = 17.5 cm

To learn more...

1. The curved surface area of a cylindrical pillar is 264m2 and its volume is 924m3.find the diameter and height of the pillar.

https://brainly.in/question/956844

2. The curved surface area and volume of a pillar are 264 metres square and 396 M cube respectively find the diameter and height of the pillar

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