Advertisements
Advertisements
Question
The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of its base. [Use π = 3.14]
Solution
Height (h) of cone = 15 cm
Let the radius of the cone be r.
Volume of cone = 1570 cm3
`1/3pir^2h` = 1570 cm3
`rArr(1/3xx3.14xx r^2 xx15) cm` = 1570 cm3
⇒ `1/3 xx 314/100 xxr^2 xx 15 = 1570`
⇒ `r^2 = (1570 xx3 xx100)/(314 xx 15)`
⇒ r2 = 100 cm2
⇒ r = 10 cm
Thus, the required radius of the base is 10 cm.
APPEARS IN
RELATED QUESTIONS
Find the volume of the right circular cone with radius 6 cm and height 7 cm.
`["Assume "pi=22/7]`
Find the capacity in litres of a conical vessel with radius 7 cm and slant height 25 cm.
`["Assume "pi=22/7]`
Find the capacity in litres of a conical vessel with height 12 cm and slant height 13 cm.
`["Assume "pi=22/7]`
If the volume of a right circular cone of height 9 cm is 48 `pi` cm3, find the diameter of its base.
If the height and slant height of a cone are 21 cm and 28 cm respectively. Find its volume.
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 heights of two cones are in the ratio of 1 : 4 and the radii of their bases are in the ratio 4 : 1, then the ratio of their volumes is
If the radius of the base of a cone is tripled and the height is doubled then the volume is
A cylinder and a right circular cone are having the same base and same height. The volume of the cylinder is three times the volume of the cone.
