Correct option is D
Given height h = r (since same height and base)
l = √(r² + h²) = √(r² + r²) = √2 r
Cylinder : Hemisphere : Cone
= 2πrh : 2πr² : πrl
= 2πr² : 2πr² : πr(√2r)
= 2 : 2 : √2
√2 : √2 : 1
A cylinder, a hemisphere and a cone have the same base and same height. Their areas of curved surfaces are in the ratio-
A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)
A cylinder, a hemisphere and a cone have the same base and same height. Their areas of curved surfaces are in the ratio-
A pencil sharpened at both edges is the combination of ________ and _________.
The volume (in ) of a wire of diameter 6 cm and length 7 m is:
take
A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 ?
The internal measures of a cuboidal room are 12 m × 8 m × 4 m, with the height being 4 m. Find the total cost of whitewashing all four walls along with ceiling of the room, if the cost of white washing is ₹5 per sq. m.
The radius of a 80 cm wide road roller is 77 cm. Find the number of revolutions that the roller will take to cover an area of 96.8 . [Takе π = ]
What is the ratio of the surface areas of two spheres, if their volumes are in the ratio 8 : 27?
A conical tent has to be accommodate 30 persons. Each person must have 5 spaces on the ground and of air to breather. Find the height (in m) of the tent.
Suggested Test Series
Suggested Test Series
A triangle ABC with sides 3 cm, 4 cm and 5 cm is revolved about the side 3 cm. Find the volume of the solid so obtained. (Use π = 3.14)
A cylinder, a hemisphere and a cone have the same base and same height. Their areas of curved surfaces are in the ratio-
A pencil sharpened at both edges is the combination of ________ and _________.
The volume (in ) of a wire of diameter 6 cm and length 7 m is:
take
A godown is in the form of a cuboid of measures 60 m × 40 m × 30 m. How many cuboidal boxes can be stored in it if the volume of one box is 0.8 ?
The internal measures of a cuboidal room are 12 m × 8 m × 4 m, with the height being 4 m. Find the total cost of whitewashing all four walls along with ceiling of the room, if the cost of white washing is ₹5 per sq. m.
The radius of a 80 cm wide road roller is 77 cm. Find the number of revolutions that the roller will take to cover an area of 96.8 . [Takе π = ]
What is the ratio of the surface areas of two spheres, if their volumes are in the ratio 8 : 27?
A conical tent has to be accommodate 30 persons. Each person must have 5 spaces on the ground and of air to breather. Find the height (in m) of the tent.