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A cone with height 24 and the base diameter 7 has a surface area of 305.17 units2

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Q: What is the surface area of a cone with the height 24 and the base is 7?
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What is the surface area of a right cone with the radius of the base 6 feet and the height of the cone 8 feet?

Surface area is 188.5 feet2


What is the formula for the surface area of a cone?

Area = πSr + πr² Where: S = the slant length of the cone r = radius of the base πr² = area of the base of the cone πSr = area of outside of cone -------------------------------------------------------------- The surface area of the cone is the sum of the area of the base and the slanted surface. The area of the base is the area of a circle = πr² The area of the slanted surface can be calculated by realising that if the slanted surface is cut by a straight line from the apex to the base it can be "unrolled" into a sector of a circle. Thus it is a fraction of the area of a circle. The length of the circumference of the sector is the length of the circumference of the base of the cone; the length of the whole circle from which this is a sector is the circle with radius of the slant height of the cone; thus: area slanted surface = πS² × ((2πr)/(2πS)) = πSr Thus the surface area of a cone = area base + area slant surface → surface_area_cone = πr² + πSr = πr(r + S) where r is the radius of the base and S is the slant height.


What is the surface area of a cone if the height is 21 and the diameter is 19?

The surface area of a cone if the height is 21 and the diameter is 19 is 971.43 units2


What is the complete surface area of a right cone with a radius of 3 and a height of 15?

Slant height of the cone = sqrt(32 + 152) = 15.297 Base surface area = π(3)2 = 9π Curve surface area = π(3)(15.297) = 45.891π Total surface area = 9π + 45.891π = 54.891π


What is the area of hollow cone?

Find cone base area using a circle's formula, which is pi times (radius squared). Find cone slanted area with this formula:half of the length of the side, times the circumference of the base.. Add the results to get the total surface area.Measure the cone's circumference with this formula: C = pi * d. C is circumference and d is its diameter. Measure the diameter, which is a line from the base's one side, through its center, to the opposite side.Calculate cone slant height from its top to its base's side. Use your slant height and circumference measurement to calculate cone slanted area. Use step one's formula, where "s" is the slant height, and C is the circumference.4 Add your results for cone base area and cone slanted area to get the total cone surface area.

Related questions

What is the surface area of a right cone with the radius of the base 6 feet and the height of the cone 8 feet?

Surface area is 188.5 feet2


What is the surface area of a cone with a diameter 18 km and a slant height of 20.1 km?

A cone with a diameter of 18km and a slant height of 20.1km has a total surface area of about 822.78km2


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.


What is the formula for the surface area of a cone?

Area = πSr + πr² Where: S = the slant length of the cone r = radius of the base πr² = area of the base of the cone πSr = area of outside of cone -------------------------------------------------------------- The surface area of the cone is the sum of the area of the base and the slanted surface. The area of the base is the area of a circle = πr² The area of the slanted surface can be calculated by realising that if the slanted surface is cut by a straight line from the apex to the base it can be "unrolled" into a sector of a circle. Thus it is a fraction of the area of a circle. The length of the circumference of the sector is the length of the circumference of the base of the cone; the length of the whole circle from which this is a sector is the circle with radius of the slant height of the cone; thus: area slanted surface = πS² × ((2πr)/(2πS)) = πSr Thus the surface area of a cone = area base + area slant surface → surface_area_cone = πr² + πSr = πr(r + S) where r is the radius of the base and S is the slant height.


How do you find the curved surface area of cone?

Suppose you have a cone with slant height='l' and base radius 'r' and perpendicular height 'h' Curved surface area of COne=pi*r*l =pi*r*(squareroot(r2+h2))


What is the lateral are of a right cone if the base is 6 and the height is 14?

Given a base radius of 6 and perpendicular height of 14, the curved surface area of the cone is 287.1 square units.


What is the surface area of a cone if the height is 21 and the diameter is 19?

The surface area of a cone if the height is 21 and the diameter is 19 is 971.43 units2


What is the surface area of a cone with a radius of 2 and a height of 8.25?

A cone with a radius of 2 and a height of 8.25 has a surface area of 65.9 units2


What is the formula to find the surface area of a cone?

pi * r * s, where r is the radius of the base and s is the distance along the edge of the cone from the top to the base (not the height).


What is the complete surface area of a right cone with a radius of 3 and a height of 15?

Slant height of the cone = sqrt(32 + 152) = 15.297 Base surface area = π(3)2 = 9π Curve surface area = π(3)(15.297) = 45.891π Total surface area = 9π + 45.891π = 54.891π


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.


What is the volume of a cone with area of the base 100 and height 6?

A cone with a base area of 100 and a height of six has a volume of 200 units3