Advertisements
Advertisements
प्रश्न
In a cylinder, if radius is halved and height is doubled, the volume will be ______.
पर्याय
same
doubled
halved
four times
उत्तर
Let V1 be the volume of the cylinder with radius r1 and height h1, then
`V_1 = pir_1^2h_1` ……. (1)
Now, let V2 be the volume after changing the dimension, then
`r_2 = 1/2r_1 , h_2 = 2h_1`
So,
`V_2 = pir_2^2 h_2 = pi xx ((r_1)/2)^2 xx 2h_1`
`⇒ V_2 = 1/2 xx pi r_1^2 h_1 = 1/2V_1`
APPEARS IN
संबंधित प्रश्न
A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length is 1 m.
The inner diameter of a circular well is 3.5 m. It is 10 m deep Find:
(i) inner curved surface area.
(ii) the cost of plastering this curved surface at the rate of Rs. `40 per m^2`
The height of a right circular cylinder is 10.5 cm. If three times the sum of the areas of its two circular faces is twice the area of the curved surface area. Find the radius of its base.
A cylindrical vessel, without lid, has to be tin-coated on its both sides. If the radius of the base is 70 cm and its height is 1.4 m, calculate the cost of tin-coating at the rate of Rs 3.50 per 1000 cm2.
Find the volume of a cylinder whose r = 2.8 m, h = 15 m .
A solid cylinder has a total surface area of 231 cm2. Its curved surface area is \[\frac{2}{3}\] of the total surface area. Find the volume of the cylinder.
Write the number of surfaces of a right circular cylinder.
A right circular cylindrical tunnel of diameter 2 m and length 40 m is to be constructed from a sheet of iron. The area of the iron sheet required in m2, is
The total surface area of a cylinder is 264m2. Find its volume if its height is 5 more than its radius.
If the radius of a cylinder is tripled but its curved surface area is unchanged, then its height will be ______.
