Question

The circumference of the base of 24m high solid wooden cone is 44m. Find its curved surface area

Answer 1

2πr=44
2×22/7× r= 44
44/7 × r =44
r=7
l=25(by l^2= h^2 +r^2)
CSA =πrl
22/7×7×25=22×25=550 m...
Thank u..

Answer 2

The curved surface area of cone$=550m^{2}.$

Step-by-step explanation:

Given,

Height(h) = 24 m and solid wooden cone = 44 m

To find, the curved surface area of cone = ?

Ler radius of cone = r

∴ $2\pi r=44$

⇒ $2\times \dfrac{22}{7} \times r= 44$

⇒ $\dfrac{44}{7} \times r= 44$

⇒ r = 7 m

∴ Slant height(l)=$\sqrt{h^{2}+r^{2}}$

$=\sqrt{24^{2}+7^{2}}=\sqrt{576+49}$

$=\sqrt{625} =25m$

The curved surface area of cone $=\pi rl$

$=\dfrac{22}{7} \times 7 \times 25m^{2}$

$=22 \times 25m^{2}$

$=550m^{2}$

Thus, the curved surface area of cone$=550m^{2}$.