मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Find the Ratio of the Volumes of a Cylinder and a Cone Having Equal Radius and Equal Height.(A)1 : 2 (B) 2 : 1 (C) 1 : 3 (D) 3 : 1 - Geometry Mathematics 2

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प्रश्न

Find the ratio of the volumes of a cylinder and a cone having equal radius and equal height.
(A)1 : 2 (B) 2 : 1 (C) 1 : 3 (D) 3 : 1

उत्तर

(4) D

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2018-2019 (March) Balbharati Model Question Paper Set 2

संबंधित प्रश्‍न

Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.


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A solid sphere of diameter 6 cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel?


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Water flows at the rate of 10 metre per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel whose diameter at the base is 40 cm and depth 24 cm?


The volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is


A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely immersed. The water level in the vessel will rise by


In a village, a well with 10 m inside diameter, is dug 14 m deep. Earth taken out of it is spread all around to a width 5 m to form an embankment. Find the height of the embankment. What value of the villagers is reflected here?


The volume of a cube is 729 cm3. Find its surface area.


A 5-m-wide cloth is used to make a conical tent of base diameter 14 m and height 24 m. Find the cost of cloth used, at the rate of ₹25 per metre.


A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then the water level rises by ______.


Choose the correct answer of the following question:

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is


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The area of the base of a right circular cone is 154 cm2 and its height is 14 cm. Its curved surface area is


The radius of the base and the height of a solid right circular cylinder are in the ratio 2 : 3 and its volume is 1617 cm3. Find the total surface area of the cylinder.


Match the column:

(1) surface area of cuboid (A) πr2
(2) surface area of closed right cylinder (B) 2πr(h + r)
(3) Total surface area of right cone (C) πrl + πr2
(4) Total surface area of hemisphere (D) 3πr3
  (E) 3πr2
  (F) 2[lb + bh + lh]

The radii of the top and bottom of a bucket of slant height 45 cm are 28 cm and 7 cm, respectively. The curved surface area of the bucket is ______.


There is a circular pond and a footpath runs along its boundary. A person walks around it, exactly once keeping close to the edge. If his step is 66 cm long and he takes exactly 400 steps to go around the pond, find the diameter of the pond.


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Find the surface area of a sphere of radius 7 cm.

Solution :

The surface area of the sphere = 4πr2

= `4 xx 22/7 xx square^2`

= `4 xx 22/7 xx square`

= `square xx 7`

∴ The surface area of the sphere = `square` sq.cm.


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