Question

if CSA of right circular cone is 220m square and slant height is 10cm. Find the radius. ​

Answer 1

Step-by-step explanation:

Here, CSA = 220 m.

Therefore, according to formula :-

Here, slant height, l = 10/100 cm = 0.1 metres

$\pi \: rl = 220 \\ = 22 \div 7 \times r \times 0.1 = 220 \\ = 2.2r \div 7 = 220 \\ = 2.2r = 220 \times 7 \\ = r = 220 \times 7 \div 2.2 \\ = r = 100 \times 7 \\ = r = 700 \: metres.$

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Answer 2

The radius of a cone (r) = 700 m

Step-by-step explanation:

Given,

The curved surface area (CSA) of right circular cone = 220 $m^2$ and

The slant height (l) = 10 cm = 0.1 m

Let r be the radius of a cone.

To find, the radius of a cone (r) = ?

We know that,

The curved surface area (CSA) of right circular cone = $\pi rl$

∴ $\dfrac{22}{7} r\times 0.1$ = 220

⇒ r = $\dfrac{220\times 7}{22\times 0.1}$ m

⇒ r = $\dfrac{10\times 7}{0.1}$ m

⇒ r = 700 m

∴ The radius of a cone (r) = 700 m