Question

The circumference of a right circular cylinder is 44 cm and its height is 15 cm.Find the radius and CSA of cylinder.

Answer 1

Step-by-step explanation:

C.S.A. of cylinder =4400 sq. cm.

⇒2πrh=4400

⇒(110)h=4400

⇒h=110/4400

= 40 cm

Height = 40 cm

Circumference of base of cylinder 110 cm

⇒2πr = 110

⇒2× 22/7 × r = 110

= r = 35/5

= r = 17.5 cm

Diameter 2r

2(35/2)

= 35 cm

Answer 2

Answer:-

• The radius of cylinder is 7 cm.
• The CSA of cylinder is 608 cm².

Solution:-

We have,

• Circumference of a right circular cylinder (C) = 14 cm
• Height (h) = 15 cm
• Radius = r
• CSA of cylinder = CSA

Required Formula:-

$\\ \longrightarrow\sf{Circumference\;of\;cylinder\;=\;2\pi r} \\ \\ \longrightarrow \sf{CSA \: of \;cylinder = \: 2\pi rh}$

Applying the values to find radius of cylinder,

$\\ \implies\sf{2\pi r = 44} \\ \\ \implies\sf{2 \times \frac{22}{7} \times r = 44} \\ \\ \implies\sf{2 \times 22 \times r = 44 \times 7} \\ \\ \implies\sf{44 \times r = 308} \\ \\ \implies\sf{r = \frac{308}{44}} \\ \\ \implies \underline{\boxed{\frak{r = 7}}} \: \pink{ \bigstar}$

∴ Radius of cylinder is 7 cm.

Now,Finding the CSA of cylinder,

$\\ \implies\sf{CSA = 2\pi rh} \\ \\ \implies\sf{CSA = 44 \times 15} \\ \\ \implies\underline{\boxed{\frak{CSA = 660 \: {cm}^{2}}}}\;\red{\bigstar}$

∴ CSA of cylinder is 660 cm².

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