The Surface Area of a Right Cone Calculator is an online tool that finds the value of Surface Area when the radius of circular base and slant height of the right cone is known to us. BYJU’S surface area calculator for right cone makes calculations simple and interesting.
Formula:
Surface area of right cone = πr(r + l)
where r is the radius of the circular base
l is the slant height
What is Surface Area of Right Cone?
A right cone is cone that has its vertex just above the center of its circular base. It means the axis from the vertex of the cone meet the base at the center. A cone is a three-dimensional shape that has both surface area and volume.
The surface area of a right circular cone is the total area covered by its outer surface. It is equal to the sum of area of circular base and lateral surface area.
Surface area (right cone) = Area of circular base + Curved Surface area
SA = π r2 + π r l
SA = π r (r + l)
r = radius and l = slant height
How to Find Surface Area of Right Cone?
To find surface area of a given right circular cone, using the calculator, follow the below steps:
Step 1: Mention the values of radius and slant height in the respective input box
Step 2: Click the “Solve” button to get the required surface area
Step 3: The surface area of cone with respect to radius and slant height will appear in the output field
Solved Example
Q: Find the value of surface area when the radius and slant height of a right cone is 10 cm and 15 cm, respectively.
Solution: Given,
Radius = 10 cm
Slant height = 15 cm
By formula of surface area of right cone, we know:
Total surface area = π r (r + l)
TSA = π x 10 (10 + 15)
TSA = 785.4 sq.cm.
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