Advertisements
Advertisements
Question
The height of a right circular cone whose radius is 5 cm and slant height is 13 cm will be
Options
12 cm
10 cm
13 cm
5 cm
Solution
12 cm
Explanation;
Hint:
Here r = 5 cm and l = 13 cm
h = `sqrt("l"^2 - "r"^2)`
= `sqrt(13^2 - 5^2)`
= `sqrt(169 - 25)`
h = `sqrt(144)`
= 12 cm
APPEARS IN
RELATED QUESTIONS
If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.
The height of a conical vessel is 3.5 cm. If its capacity is 3.3 litres of milk. Find its diameter of its base.
The area of the curved surface of a cone of radius 2r and slant height `1/2`, is
A solid cylinder is melted and cast into a cone of same radius. The heights of the cone and cylinder are in the ratio
If the radius of the base of a right circular cone is 3r and its height is equal to the radius of the base, then its volume is
If the volume of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then the ratio of their heights, is
A right circular cylinder and a right circular cone have the same radius and the same volume. The ratio of the height of the cylinder to that of the cone is
If the ratio of radius of base and height of a cone is 5:12 and its volume is 314 cubic metre. Find its perpendicular height and slant height. (π = 3.14)
In a right circular cone, height, radius and slant height do not always be sides of a right triangle.
