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If you visualize the cone by cutting it vertically (with a plane perpendicular to the base), you can construct a right triangle to represent the radius, altitude, and slant height. This triangle has legs of 7 (the radius) and 19 (the altitude). Its hypotenuse represents the slant height. We can then use the Pythagorean theorem to solve for the slant height:
72 + 192 = s2
72 + 192 = s2
410 = s2
s = √(410)
s ≈ 20.24
Therefore the cone has a slant height of √(410), or approximately 20.248456731316586933246902289901 units.
What else can I help you with?
What is the surface area of a right cone with a radius of 4 and a slant height of 13?
A right cone with a radius of 4 and a slant height of 13 has a total surface area of about 213.63 units2
Find the volume of the cone?
Label t radius 6cm the height 8cm and the slant height 10cm
If the volume of a cone is 18pi in cubed and the radius is 3 in then what is the height?
The perpendicular height is 6 inches and the slant height is 6.7082 inches.
What is the height of a cone whose slant height is 17 inches and whose base is 4 inches in radius?
5.07 inches
Find the volume of a cone having radius of the base 35 cm and slant height 37 cm?
The volume of this cone is 15,400 cm3
What equation do you use to find slant height from altitude and radius?
On the off chance that the question refers to a right cone, l2 = r2 + h2 by Pythagoras, where l is the slant height, h the altitude and r the radius.
How do you find the radius of a cone if you have the height and slant height?
A cone is a solid composed of a circle and its interior (base), a given point not on the plane of the circle (vertex) and all the segments from the point to the circle.A right cone is a cone where the vertex is directly above the centre of the base. If you are talking about a right cone then the radius of the base can be calculated using Pythagorus, a2 + b2 = c2, whereby a = radius, b = height (altitude) and c = slant height.Therefore a2 = c2 - b2 or (radius)2 = (slant height)2 - (altitude)2
What is the slant height of a cone with 8 height and 6 radius?
A right circular cone with 8 height and 6 radius has a slant height of 10.
A right cone has a radius of 5 in and a height of 6in What is the slant height of the cone?
Slant height is 7.81 inches.
How do you find the height of a cone if you have the slant height and the radius?
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
What is the area of a cone with a slant height of 22 cm and radius of 7cm?
A cone with a slant height of 22cm and radius of 7cm has a total surface area of about 637.74cm2
How do you work out the slant height of a cone?
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
How do you find the radius and the slant height of a heap of sand in the shape of cone?
the slant height of a right circular cone is the distance from any point on the circle to the apex of the cone . The slant height of a cone is given by the formula ,√r2+h2 where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.
What is the surface area of a cone with a slant height of 22 cm and radius of 7 cm?
A cone with a slant height of 22cm and radius of 7cm has a total surface area of about 637.74cm2
What is the surface area of a right cone with a radius of 8 and a slant height of 15?
The surface area of a right cone with a radius of 8 and a slant height of 15 is: 377 units squared.
What is the surface area of a right cone with a radius of 4 and a slant height of 13?
A right cone with a radius of 4 and a slant height of 13 has a total surface area of about 213.63 units2
What is the surface area of a right cone with a slant height of 6 and a radius of 9?
These dimensions are not possible for a right cone. The radius must be less than the slant height. If we reverse the dimensions (radius 6, slant height 9) the total surface area will be about 282.74 units2
