The radius and height of a cylinder are in the ratio 3 : 7. Its volume is 1584 cu cm. What is the radius of the cylinder?
Let radius be 3x and height be 7x
How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 33 m long 3.5 m high and 40 cm thick and sand used in the construction occupy 1/10 th part of the wall?
Volume of the wall = 33 × 3.5 × 0.4
A rectangular sheet of paper 44 cm × 18 cm is rolled along its length and a cylinder is forms. What is the volume of that cylinder?
The area of the base of a cone is 180 cm^{2}. If the height of the cone is 8 cm. What is its volume?
The radii of two cylinders are in the ratio 2: 3 and their heights are in the ratio 5 : 3. What is the ratio of their volumes?
Given, the radii of cylinder = 2 : 3.
Heights of cylinder = 5 : 3
∴ Ratio of volume of the cylinders
A swimming pool is 260 m long and 140 m wide. If 54600 cubic metres of water is pumped into it, what is the height of the water level in it ?
A rectangular piece paper 22 cm × 6 cm is folded without overlapping to make a cylinder of height 6 cm. What is the volume of the cylinder?
Here h = 6 cm.
The lateral surface area of a cylinder is 11440 cm^{3}. If its height is 65 cm then what is its circumference?
Lateral surface area = 11440.
In the given figure the outer dimension is 24 cm × 28 cm and the inner dimension 16 cm × 20 cm. What is the difference between two adjacent section of the frame if the width of each section is same?
Width of section AEFB = width of CGHD
The area of a trapezium is 480 cm^{2}. The distance between two parallel sides is 15 m and one of the parallel side is 20 m. What is the length of other parallel side?
A rectangular piece of paper 11 cm × 4 cm is folded without overlapping to make a cylinder of height 4 cm. What is its volume?
Here h = 4 cm
The total surface area of a cube is 486 m^{2}. Then what is its side?
Total surface area of cube = 486 (Given)
The parallel sides of a trapezium are 25 cm and 11 cm and its nonparallel sides are 15 cm and 13 cm. What is the area of trapezium?
Here MC = AD = 15 cm
AM = DC = 11 cm
The area of a trapezium is 384 cm^{2}. Its parallel sides are in the ratio 5 : 3 and the distance between them is 12 cm. What is the longer of the parallel sides
Area of trapezium = 384
In the given figure ST = SR, PQ = QR = RT =TP = 25 m and its 5 total height is 41 m. What is its total area?
Total area = area of ΔSTR
ABCD is a quadrilateral field in which the diagonal BD is 36 m. AL ⊥ BD and CM ⊥ BD such that AL = 19 m and CM = 11 m. What is the area of the field?
If the length of each side of a cube is doubled then how many times does its surface area become?
Let the length of cube = a.
Surface area = 6a^{2}.
∴ Length of cube = 2a.
Surface area = 6(2a)^{2} = 6 × 4a^{2} = 24a^{2}
= 4 × 6a^{2}
The edges of a cuboid are in the ratio 1 : 2 : 3 and its surface area is 88 cm2. What is the volume of the cuboid?
Total surface area of cuboid
The curved surface area of a cylinder is 220 cm^{2} and the volume of the cylinder is 770 cm^{3} the what is the diameter of cylinder?
Curved surface area of cylinder = 220
The circumference of the circular base of a cylinder is 44 cm and its height is 15 cm. What is the volume of the cylinder?
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