Advertisements
Advertisements
प्रश्न
If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.
पर्याय
True
False
उत्तर
This statement is False.
Explanation:
Let the radius of a right circular cone be r and height of a right circular cone be h.
Then, the volume of a right circular cone = `1/3 pir^2 h`
Now, `r = r/2, h = 2h`
New volume of a right circular cone = `1/3 pi(r/2)^2 xx (2h)`
= `1/3 pi xx r^2/4 xx 2h`
= `1/3 pi xx r^2/2 h`
= `1/2(1/3 pir^2 h)`
Hence, the new volume of a right circular cone becomes half of original volume of a right circular cone.
APPEARS IN
संबंधित प्रश्न
Find the volume of the right circular cone with radius 6 cm and height 7 cm.
`["Assume "pi=22/7]`
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.
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
The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, 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
The slant height of a cone is increased by 10%. If the radius remains the same, the curved surface area is increased by
If h, S and V denote respectively the height, curved surface area and volume of a right circular cone, then `3 pi Vh^3 - S^2h^2 + 9V^2` is equal to
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)
If the radius of the base of a cone is tripled and the height is doubled then the volume is
A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume and the curved surface of the solid so formed.
