Question

WISE.
surface area.
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved
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Answer 1

Answer:

Curved surface area of the cone = 330cm²

Step-by-step explanation:

Given :

Diameter of the base of the cone = 10.5 cm

Slant height = 10 cm

To find :

The curved surface area

Taken :

To find the curved surface area of the cone use this formula -:

$\boxed{\sf{C.S.A.=2\pi rh}}$

Where,

C.S.A. = Curved surface area

r = Radius

h = Height

So , the radius is 10.5 cm/2 = 5.25 cm

Solution :

$\leadsto\bf{C.S.A.=2\times\dfrac{22}{7}\times5.25\times10}$

$\leadsto\bf{C.S.A.=\dfrac{2\times22\times5.25\times10}{7}}$

$\leadsto\bf{C.S.A.=\dfrac{44\times5.25\times10}{7}}$

$\leadsto\bf{C.S.A.=\dfrac{231\times10}{7}}$

$\leadsto\bf{C.S.A.=\cancel{\dfrac{2310}{7}}}$

$\leadsto\bf{C.S.A.={330cm}^{2}}$

So , the Curved surface area of the cone is 330 cm² .