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What is the slant height ℓ of a cone that has a Lateral Surface Area of 285 sq. cm. and a radius of 10 cm?
The lateral surface area ( A ) of a cone can be calculated using the formula ( A = \pi r \ell ), where ( r ) is the radius and ( \ell ) is the slant height. Given that the lateral surface area is 285 sq. cm and the radius is 10 cm, we can rearrange the formula to find ( \ell ):
[ \ell = \frac{A}{\pi r} = \frac{285}{\pi \times 10} = \frac{285}{31.42} \approx 9.06 \text{ cm}. ]
Thus, the slant height ( \ell ) is approximately 9.06 cm.
What else can I help you with?
How do you find the slant height of a cone if you have surface lateral and radius?
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.
What is the lateral surface area of a cone with a base of 20 and a slant of 5?
The slant height cannot be larger than the base radius.
Which of the formulas would find the Lateral Area of a right cone where are is the radius and s is the slant 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).
What formula would be used to find the lateral area of a right cone where are is the radius and s is the slant height?
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.
How do you find the slant height of a cone if you have the lateral area and slant height?
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
What is the lateral surface area of a cone with a radius of 12cm and a slant height of 20cm?
The lateral surface area of a right circular cone with a radius of 12cm and a slant height of 20cm is approximately 754cm2
How do you find the slant height of a cone if you have surface lateral and radius?
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.
How do you find the lateral area and the surface area when you have the slant height and the radius and the base edge?
3
What is the lateral surface area of a cone with a base of 20 and a slant of 5?
The slant height cannot be larger than the base radius.
A sugar cone has a slant height of 6 in and a radius of 1 in What is its lateral area?
The lateral surface area is 18.85 square inches.
Which of the formulas would find the Lateral Area of a right cone where are is the radius and s is the slant 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).
What is the slant height of a cone if the surface area is 395.64 square meters?
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.
How do you find the slant height of a cone if you have the lateral area and slant height?
Why do you need to FIND the slant height if you have the [lateral height and] slant height?
What formula would be used to find the lateral area of a right cone where are is the radius and s is the slant height?
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.
If a traffic cone is 19 inches tall and has a radius of 5 inches what is the lateral area?
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
What is the surface area of a right cone with a slant height of 7 and a radius of 5?
The lateral area is, I think, 35pi and the surface area is 60pi.188.40 units sq.
What is the lateral area of a cone with the radius of 2 and slant height of 6?
37.7 units2
