Question

4. The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

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Answer 1

$\bigstar \underline{\underline{\sf Given:-}}$

• For a right circular cone,Height = 15cm.
• And, Base diameter =16cm.

$\bigstar \underline{\underline{\sf To\ find:-}}$

• The curved surface area of cone.

$\bigstar \underline{\underline{\sf Solution:-}}$

Given base diameter=16cm.

We know :

• Radius =Diameter/2

So,

Radius = 16/2 = 8cm.

We also know,

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→CSA of cone = πrl

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Where,

=>r=radius;

=>l = slant height

→For a right circular cone, From a point on the edge of the base  to the apex in a straight segment is our slant height.

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To find the value of l :-

We use the formula,

$\leadsto \sf l = \sqrt{r^2 +h^2}$

Where, h=height

$:\implies \sf l=\sqrt{r^2 +h^2} \\\\:\implies \sf l=\sqrt{8^2 +15^2} \\\\:\implies \sf l=\sqrt{64 +225} \\\\:\implies \sf l=\sqrt{289} \\\\:\implies \underline{\bold{l=17cm}}$

Hence,the slant height of the cone is 17cm.

Now,

Substituiting the values in the formula :

$:\implies \sf CSA=\pi rl\\\\:\implies \sf \frac{22}{7} \times (8)\times (17)\\\\:\implies \sf \frac{22}{7} \times 136\\\\:\implies \boxed{\boxed{\sf CSA=427.42cm^2}}$

Hence,The curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

427.42cm².

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Answer 2

Answer:

427.42 is your answer

hope you have understood