If the curved surface area of a right circular cone is 10010 sq cm and its slant height is 91 cm, find its total surface area.
- A27720 sq cm
- B4620 sq cm
- C6930 sq cm
- D13860 sq cm
Solution & Step-by-step Explanation
Let the radius of the cone be r and slant height be l.
Curved Surface Area (CSA) = πrl=10010 cm
2
Slant height (l) = 91 cm
Substitute the values using π≈
7
22
:
7
22
×r×91=10010
22×r×13=10010
286r=10010
r=
286
10010
=35 cm
Total Surface Area (TSA) = CSA+Base Area
Base Area=πr
2
=
7
22
×35×35=22×5×35=3850 cm
2
TSA=10010+3850=13860 cm
2
Curved Surface Area (CSA) = πrl=10010 cm
2
Slant height (l) = 91 cm
Substitute the values using π≈
7
22
:
7
22
×r×91=10010
22×r×13=10010
286r=10010
r=
286
10010
=35 cm
Total Surface Area (TSA) = CSA+Base Area
Base Area=πr
2
=
7
22
×35×35=22×5×35=3850 cm
2
TSA=10010+3850=13860 cm
2