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The lateral surface area of a right circular cone with a radius of 12cm and a slant height of 20cm is approximately 754cm2
Uisng the lateral area and tha radius, you should be able to find the height of the cone. Using the height and radius as the legs of a right triangle, use the Pythagorean Theorem. The hypotenuse is the slant height.
The slant height cannot be larger than the base radius.
The lateral surface area is 18.85 square inches.
To triple the lateral surface area of a cone, you must increase the radius while keeping the height constant. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. Since the slant height is related to both the radius and the height, adjusting the radius proportionately will achieve the desired increase in surface area. Specifically, you need to increase the radius by a factor of ( \sqrt{3} ) while maintaining the same height.
The formula to find the lateral area of a right cone is given by ( LA = \pi r s ), where ( r ) is the radius of the base and ( s ) is the slant height. This formula calculates the curved surface area of the cone, excluding the base. To use it, simply multiply the radius by the slant height and then by (\pi).
To quadruple the lateral surface area of a cone, you need to increase either the radius or the height of the cone. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. To achieve quadrupling, you could multiply the radius ( r ) by 2 or the slant height ( l ) by 2, or a combination of both, as long as the product results in four times the original area.
The surface area is a function of the height (or slant height) and the radius of the base. So, the slant height is a function of the surface area and the base-radius. Since the latter is unknown, the slant height cannot be calculated.
The formula ( rs ) represents the lateral surface area of a right cone, where ( r ) is the radius of the base and ( s ) is the slant height. The lateral surface area of a cone can be calculated using the formula ( \frac{1}{2} \times 2\pi r \times s = \pi r s ). Thus, the expression ( rs ) is part of this calculation, specifically indicating the product of the radius and the slant height, which is essential for deriving the full lateral surface area.
The formula to find the lateral area ( A ) of a right cone is given by ( A = \pi r s ), where ( r ) is the radius of the base of the cone and ( s ) is the slant height. This formula calculates the surface area of the cone's curved surface, excluding the base.
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
The lateral surface area is A = pi*(radius)*(slant height), where (slant height) = sqrt(r^2 + h^2). So A = pi*(5 in)*sqrt((5 in)2+(19 in)2) = 308.6125 square inches