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In a circus, a conical tent is made up of tarpaulin. If the radius of the base of the conical tent is 12m and their height is 5 m. What is the area of tarpaulin required for this tent? (Use π = 3.14)

In a circus, a conical tent is made up of tarpaulin. If the radius of the base of the conical tent is 12m and their height is 5 m. What is the area of tarpaulin required for this tent? (Use π = 3.14) Correct Answer 489.84 m<span style="position: relative; line-height: 0; vertical-align: baseline; top: -0.5em;font-size:10.5px;">2</span>

Given:

Radius, r = 12 m

Height, h = 5 m

Formula used:

CSA of cone = πrl, where l is slant height and r is the radius of the base.

Calculation:

By using Pythagoras theorem,

l2 = (h2 + r2)

⇒ l2 = 122 + 52

⇒ l2 = 169

⇒ l = √169

⇒ l = 13 m

CSA of tent = πrl

⇒ CSA = 3.14 × 12 × 13

⇒ CSA = 489.84 m2

∴ The area of tarpaulin required for this tent is 489.84 m2.

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