Choose the Correct options
0 of 35 Questions completed
Questions:
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
0 of 35 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
Average score 

Your score 

What is the ratio of volumes of two cones with the same radii?
Volume
Ratio
What is the length of the largest pole that can be put in a room of dimensions \(10m\times10m\times5m \)?
Length of the diagonal
The cost of painting the total surface area of a cone at \(\dfrac{5ps}{cm^2} \) is Rs 35.20. Determine the volume of the cone if its slant height is 25 cm.
A cube of edge is ‘k’ is divided into ‘n’ equal cubes. Determine the edge of the new cube.
Let the edge of small cube = ‘a’ unit. Volume . volume of big cube
( n are the small cubes)
Volume of a cuboid is \(12\ cm^3 \). Find the volume if its sides are double
If 10 cubic meters of clay is uniformly spread on a land of are 10 acres. What is the rise in the level of the ground?
area of land
rise in level
If radius of a sphere is 3y, find its volume.
Volume
Find the surface area of the biggest sphere which can fit in a cube of side 4r.
Radius
Surface area
If surface area of a cube is \(216\ cm^2 \), find its volume
Volume
A sphere is just enclosed inside a right circular cylinder. If the volume of the cylinder is \(390\ cm^3 \), find the volume of the sphere.
volume of a cylinder
volume of a cylinder
volume of a sphere
volume of the gap
Volume of the cylinder
Subtracting the value we get
Volume of sphere
If the radius of two spheres are in ratio 5:4, find the ratio of their surface area.
Surface area of sphere
Ratio
A sphere is just enclosed inside a cube of volume \(84\ cm^3 \). Find the volume ofthe sphere.
Volume of a sphere
Diameter of the sphere
Volume of cube (side 2r) =
Volume of the sphere
A sphere and a cone have the same radii. If the volume of the sphere is triple of the volume of the cone. Find the ratio of the cone’s height and radius.
Volume of cone
Volume of sphere
A/Q
Find the volume of the biggest one that can fit inside a cube of ride 1 cm.
Volume of a cone
Radius of a cone
Volume of cone
If volume of a cube is \(27\ cm^3 \), its surface area is….. \(cm^2 \)
Surface area of the cube
The height of two cones is in the ratio 3:7 and their radius is in the ratio 5:3. Find the ratio of their volumes.
Ratio
A cone made completely of metal has a base radius of 3 cm and height of 12 cm. If we melt it and recast it into a sphere. The radius will be
Volume of cone
Volume of cone = volume of sphere
The diameter of the base of a right circular cylinder is 28 cm and its height is 21 cm. Its volume is
Volume
The volume of a vessel in the form of a right circular cylinder is \(448\ cm^3 \) and its height is \(7\ cm \). Find the radius of the base.
The curved surface area of a right circular cone is \(12320\ cm^2 \). If the radius of the base is \( 56\ cm\). Find its height.
50 circular plates each of radius 7 cm and thickness 5 cm are placed one above another to form a solid right circular cylinder. Find the volume of the cylinder so formed.
Volume of circular plate
Volume of the cylinder
A sphere of diameter 5 cm is dropped into a cylinder vessel partly filled with water. The diameter of the base vessel is 10 cm. If the sphere is completely submerged, by has much will the level of water rise?
Radius of the sphere
Radius of the base of vessel
Value of sphere
A petrol tank is a cylinder of base diameter 21 cm and length 18 cm fitted with conical ends each of axis length 9 cm. Determine the capacity of the tank.
Capacity of the tank
= volume of the cylinder volume of the cone
The height of a cone is 30 cm. A small cone is cut off at a top by a plane. Parallel to the base. If its volume be \( \dfrac{1}{27}\) of the volume of the given cone. At what height above the base is the section made?
….(1)
Volume of the small cone
the volume of the cone
(From ….(1))
Height of the above section
A rectangular sheet of metal 44 cm long and 20 cm broad is rolled along its length into a right circular cylinder so that the cylinder has 20 cm as its height. Find the volume of the cylinder.
Volume
A cone of height 24 cm and radius of base 6 cm is made up of modeling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere.
Volume of cone = volume of sphere
A joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. find the area of the sheet required to make 10 such caps.
A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones each of radius 3.5 cm and height 3 cm. find the number of cones so formed.
Volume of solid metallic sphere
Volume of cone
Number of cones
A canal is 300 cm wide and 120 cm deep. The water in the canal is flowing with a speed of 20 km/hr. How much area will it irrigate in 20 minutes if 8 cm of standing water is desired?
Volume of water flows in the canal in one hour
In 20 minutes the volume of water
Area irrigated in 20 minutes if 0.08m
Standing water is required
Three cubes of a metal whose edges are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is \(12\sqrt3 \) cm. Find the edges of three cubes.
Diagonal
Edges
Two cubes of side 6 cm each are joined end to end. Find the surface area of the resultant cuboids.
Cuboid formed is of dimension
surface area of a cuboid
Find the cost of constructing a wall 8 m long 4 m high and 20 cm thick at rate of ₹ 25 per \(\text m^3 \)
Volume
Cost
If each edge of a cube is increased by 50%. What is the percentage increase in its surface area?
Edge is increased by 50% = 50% =
Surface area
Percentage increase
A cone of radius 4 cm is divided into 2 parts by drawing a plane through the midpoint of axis and parallel to its base. Compare the volume of the two parts.
From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and of same diameter is curved. Find the TSA of remaining solid.
CSA of the cone =
C.S.A of cylinder =
Area of lower base of the cylinder