English

A Tank of Cylindrical Shape Has Radius 2.8 M and Its Height 3.5 M. Complete the Activity to Find How Many Litres of Water the Tank Will Contain. Capacity of Water Tank = Volume of Cylindrical Tank - Geometry Mathematics 2

Advertisements
Advertisements

Question

A tank of cylindrical shape has radius 2.8 m and its height 3.5 m. Complete the activity to find how many litres of water the tank will contain.
Capacity of water tank = Volume of cylindrical tank

= πr2h

= 22/7 × 2.8 × 2.8 ×_____
= _____ m3
= _____ × 1000 litre
= _____ litre
Answer in Brief

Solution

Capacity of the tank = Volume of cylindrical tank
= πr2h
= 22/7 × 2.8 × 2.8 × 3.5
= 86.24 m3
= 86.24 × 1000 litre
= 86240 litre

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 1

RELATED QUESTIONS

Sushant has a vessel, of the form of an inverted cone, open at the top, of height 11 cm and radius of top as 2.5 cm and is full of water. Metallic spherical balls each of diameter 0.5 cm are put in the vessel due to which 2/th of the water in the vessel flows out. Find how many balls were put in the vessel. Sushant made the arrangement so that the water that flows out irrigates the flower beds. What value has been shown by Sushant?


A right triangle whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose value of π as found appropriate.)


An oil funnel made of tin sheet consists of a 10 cm long cylindrical portion attached to a frustum of a cone. If the total height is 22 cm, diameter of the cylindrical portion is 8 cm and the diameter of the top of the funnel is 18 cm, find the area of the tin sheet required to make the funnel (see the given figure).


A solid metallic sphere of diamter 16 cm is melted and recasted into smaller solid cones, each of radius 4 cm and height 8 cm. Find the number of cones so formed.


A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the volume of wood in the toy. `[\text{Use}pi 22/7]`


Find the volume of a sphere of diameter 6 cm.


A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, by how much will the level of water rise?


If the heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4, what is the ratio of their volumes?


A tent is in the shape of a right circular cylinder up to a height of 3 m and conical above it. The total height of the tent is 13.5 m and the radius of its base is 14 m. Find the cost of cloth required to make the tent at the rate of Rs 80 per square metre.


A hemispherical bowl of internal radius 9 cm is full of water. Its contents are emptied into a cylindrical vessel of internal radius 6 cm. Find the height of water in the cylindrical vessel.


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?


A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km/hr. Find the amount of water (in cubic metres) that runs into the sea per minute.


66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.


A solid metallic sphere of diameter 8 cm is melted and drawn into a cylindrical wire of uniform width. If the length of the wire is 12 m, then find its width.


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


The total surface area of a hemisphere of radius 7 cm is


In a right circular cone, if the perpendicular height is 12 cm and the radius is 5 cm, then find its slant height.


______ surface area of room = area of 4 walls.


The curved surface area of a right circular cone is 12320 cm2. If the radius of its base is 56 cm, then find its height.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×