Question

If the circumference of the base of a right circular cone and the slant height is 120
π
and 10 cm respectively, then find the curved surface area of the cone.

Answer 1

✓ Given :

Circumference of the base of the right circular cone = 120π

Slant height of the right circular cone = 10 cm

✓ To Find :

Curved surface area of the cone(CSA) = ?

✓ Formula Used :

» Circumference = 2πr units

» Curved surface area (CSA) = πrL sq. units

✓ Solution :

Circumference = 2πr = 120π

$r = \frac{120\pi}{2\pi}$

r = 60 cm

Therefore the radius of the cone = 60 cm

Now we have to find the CSA of the cone ,

› Curved surface area (CSA) = πrL sq. units

» π * 60 * 10

» CSA = 600 π sq.cm

______________________

Some more formula related to right circular cone :

» TSA = πrl+πr^2 sq. units

» CSA = πrL sq. units

» Volume = 1/3πr^2 h cubic. units.