Question

1The diameter of base and height of a cone is
14 cm and 24 cm, respectively. Find curved
surface area of the cone.​

Answer 1

Answer:

curved surface area 254884

Answer 2

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Given :-

• Diameter of base of cone = 14 cm
• Radius of base of cone, r = 7 cm
• Height of cone, h = 24 cm

To find :-

• Curved Surface of Cone

Formula used :-

$\small\bold\red{Curved \: Surface \: Area \: of \: cone = \pi \: rl}$

where

♡ r = radius of cone

♡ l = slant height of cone

$\small\bold\red{slant \: height \: l = \sqrt{ {h}^{2} + {r}^{2} } }$

where

♡ r = radius of cone

♡ h = height of cone

Solution:-

Radius of base of cone, r = 7 cm

Height of cone, h = 24 cm

So, slant height, l =

$\sqrt{ {7}^{2} + {24}^{2} }$

$= \sqrt{49 + 576} \\ = \sqrt{625} \\ = 25 \: cm$

$So, \: Curved \: Surface \: area \: of \: cone = \pi \: r \: l \\ = \frac{22}{7} \times 7 \times 25 \\ = 550 \: {cm}^{2}$

$\small\bold\red{So, \: Curved \: Surface \: area \: of \: cone \: = 550 \: {cm}^{2} }$

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