Advertisements
Advertisements
प्रश्न
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.
उत्तर
When right-angled ΔABC is revolved about its side 12 cm, a cone with height (h) as 12 cm, radius (r) as 5 cm, and slant height (l) 13 cm will be formed.
Volume of cone = `1/3pir^2h`
= `[1/3xx pi xx(5)^2xx12]cm^3`
= 100π cm3
Therefore, the volume of the cone so formed is 100π cm3.
APPEARS IN
संबंधित प्रश्न
Find the capacity in litres of a conical vessel with radius 7 cm and slant height 25 cm.
`["Assume "pi=22/7]`
If the volume of a right circular cone of height 9 cm is 48π cm3, find the diameter of its base.
The volume of a right circular cone is 9856 cm3. If the diameter of the base is 28 cm, find
- height of the cone
- slant height of the cone
- curved surface area of the cone
`["Assume "pi=22/7]`
The height of a cone is 15 cm. If its volume is 500 π cm3, then find the radius of its base.
If the volume of a right circular cone of height 9 cm is 48 `pi` cm3, find the diameter of its base.
If the radius and slant height of a cone are in the ratio 7 : 13 and its curved surface area is 286 cm2, find its radius.
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
The diameters of two cones are equal. If their slant heights are in the ratio 5 : 4, the ratio of their curved surface areas, is
If the base radius and the height of a right circular cone are increased by 20%, then the percentage increase in volume is approximately
Volume of a cone is 6280 cubic cm and base radius of the cone is 20 cm. Find its perpendicular height. (π = 3.14)