Question

The height of a right circular cone is 24 cm and the diameter of its base is 14 cm.Find the curved surface area of the cone​

Answer 1

The curved surface area of the cone​ is 550 $\textrm{cm}^{2}$

Step-by-step explanation:

Given the height of the right circular cone is 24 cm

Diameter of its base is 14 cm

so Radius $\textrm{r}=\dfrac{14}{2} =7\textrm{ cm}$

slant height $l=\sqrt{\textrm{r} ^{2} +\textrm{h}^{2}}=\sqrt{7^{2}+24^{2}} =\sqrt{625} =25 \textrm{cm}$

Now we know curved surface area of the cone is

$\pi \textrm{r}l=\frac{22}{7}\times7\times25=550 \textrm{cm}^{2}$

Answer 2

The curved surface area of cone is 550 sq.cm.

Step-by-step explanation:

Height of cone = 24 cm

Diameter of cone = 14 cm

Radius of cone =$\frac{Diameter}{2}=\frac{14}{2}=7 cm$

Curved surface area of cone = $\pi r \sqrt{h^2+r^2}$

So, Curved surface area of given cone = $\frac{22}{7} \times 7 \times \sqrt{24^2+7^2}=550 cm^2$

Hence the curved surface area of cone is 550 sq.cm.

#Learn more:

The radius of a cone is 3 cm and vertical height is 4 cm.Find the area of curved surface of right circular cone

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