Posted by **Ted** on Sunday, May 30, 2010 at 11:09pm.

how do you calculate the surface area of a cone with a slant height of 13cm and a height of 12cm.?

- math -
**MathMate**, Monday, May 31, 2010 at 8:28am
To calculate the curved surface area of the cone, we need to know the base radius R.

The slant height (L) of a cone is 13 cm

The vertical height (H) is 12 cm

Use Pythagoras theorem to find the radius of the base, R

R² = L² - H²

R = sqrt(13²-12²)

=5

The curved surface area of a cone is the product πRL = π*5*13 = 65π

To this, we should add the surface area of the base, equal to πR².

## Answer This Question

## Related Questions

- mathematic - q1 a cone has a base radius of 5cm and height of 12cm(a)calculate ...
- geometry - 1. What is the lateral surface area of a square pyramid with side ...
- Math - What is the surface area and volume of a composite figure made up of a ...
- math - find its slant height for volume of a right circular cone is 100¦Ð cm3 ...
- Math - 1)Forty solid hemisphere each of diameter 2cm , are melted to form a ...
- math - The slant height of a cone is square root 12cm. Find the maximum volume ...
- Algebra 1--How Am I Supposed to Solve This?! - Suppose a cone and a cylinder ...
- maths - calculate the total surface area of a solid cone of slant height 10cm. ...
- geometry - A cone has a circular base, a perpendicular height equal to 21cm, and...
- math - I need to find the A small b, C small b, slant height, and surface area ...

More Related Questions