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Practice Mensuration Questions and Answers

If the volume of a cylinder is 196π and the ratio of radius to its height is 7:4 then find the curved surface area of cylinder?
The side of a square is equal to the perimeter of an equilateral triangle of area 36√3 cm2 . Find the area of the square?
The side of a square is equal to the perimeter of an equilateral triangle of area 196√3 cm2 . Find the area of the square?
If the radius of a cylinder is 17 cm and its curved surface area is 1309 cm2 then find the height of the cylinder?
If the radius of a cylinder is 20 cm and its curved surface area is 660 cm2 then find the height of the cylinder?
A cylinder of radius 7 cm is surmounted completely by a cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire shape ...
The area of the base of a right circular cone is 81π cm² and its height is 12 cm. What is the curved surface area (in cm2) of the cone? ...
The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank. in litres, is:
The curved surface area of a right cylinder is 3696 cm³. Its height is three times its radius. What is the capacity (in litres) of the cylinder? (Take...
The sum of the radii of spheres A and B is 14 cm. the radius of A being larger than that of B. The difference between their surface areas is 112π. What ...
The base of a right prism is a regular hexagon of side 5 cm. If its height is 12 √3 cm, then its volume (in cm²) is:
The radii of two right circular cylinders are in the ratio 3 : 2 and the ratio of their volumes is 27:16. What is the ratio of their heights?
The radius and height of a right circular cone are in the ratio 3: 4. If its curved surface area (in cm²) is 240 π, then its volume (in cm&su...
A gardener uses cylindrical roller of diameter 7 cm and length 28 cm to flatten a rectangular field of dimension 280cm × 165 cm. Find the number of r...
The difference between the area of a circle and the area of the rectangle is 290.16 cm2. If the length of rectangle is 25% more and breadth is 10% less tha...
Perimeter of square is 48 cm and length of a rectangle is equal to side of square and breadth of rectangle is 4 cm less than length of the rectangle. Find ...
A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of ir...
If the areas of three adjacent faces of a rectangular box which meet in a corner are 12cm2, 15cm2 and 20cm2 respectively. Then the volume of the box is ...
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hour com...
If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved s...
A cylindrical pencil of diameter 1.2 cm has one of its end sharpened into a conical shape of height 1.4 cm. The volume of the material removed is
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If t...
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square is 1...
The amount of concrete required to build a concrete cylindrical pillar whose base has a perimeter 8.8 metre and curved surface area 17.6 sq. metre, is (Tak...
A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 c...
A rectangular water tank is 80 m x × 40 m. Water flows into it through a pipe of 40 sq.cm at the opening at a speed of 10 km/hr. The water level will rise...
A solid cylinder has the total surface area 231 sq.cm. If its curved surface area is of the total surface area, then the volume of the cylinder is
The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant heigh...
The diameter of a sphere is twice the diameter of another sphere, The surface area of the first sphere is equal to the volume of the second sphere, The mag...
A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 ...
A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is
From the top of a cliff 100 meter high, the angles of depression of the top and bottom of a tower are 45° and 60° respectively. The height of the tower i...
Lateral surface area of a cube is 420 cm2 less than the lateral surface area of a cylinder. Height of cylinder is 2R cm and radius is R cm. If the s...
The area of a square is 45 sq. cm more than the area of a rectangle of length 15 cm and breadth 12 cm. What will be the area of incircle of the square?
The area of a square is 24 sq. cm more than the area of a rectangle of length 12 cm and breadth 10 cm. What will be the area of incircle of the square?
The area of a square is 38 sq. cm more than the area of a rectangle of length 19 cm and breadth 17 cm. What will be the area of incircle of the square?
‘A’ invested Rs. 4680 for ‘x’ months while ‘B’ invested Rs. 780 less amount than ‘A’ for (x + 5) months. If...
A and B together started a business with initial investment in the ratio of 3:5, respectively. The time-period of investment for A and B is in the ratio of...
B invests 30% of his monthly salary on Travelling and 20% of remaining on Food. Again, he invested 25% of the remaining (after travelling and food expenses...
A man distributes 10%, 18% and 22% of his salary into his three children who spend 40%, 60% and 25% of that amount respectively. The difference between the...

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