Question

Radius and height of the cone are 7 cm and 24 cm respectively find the surface area of the clone

Answer 1

Answer:

Total Surface area of cone is 704$cm^2$

Step-by-step explanation:

Radius of cone = 7 cm

Height of cone = 24 cm

Slant height of cone is calculated as

$l = \sqrt{(\,7)\,^2 + (\,24)\,}\\\\ l = \sqrt{49 + 576}\\\\ l =\sqrt{625} \\\\ l = \pm25$

Since slant height can never be negative

Thus, Slant Height of one = 25 m

Now, Surface area of cone = Curved Surface area + Area of Base

Surface area of cone = $\pi rl + \pi r^2$

Surface area of cone = $(\,\frac{22}{7} \times 7 \times 25)\, + (\,\frac{22}{7} \times 7 \times 7)\,$

Surface area of cone = $(\, 22 \times 25)\, + (\, 22 \times 7)\,$

Surface area of cone = $550 + 154$

Surface area of cone = $706cm^2$