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The radii of the bases of two cylinder are in the ratio of \(1:2 \) respectively and their heights are \( 2:1\) respectively. Find the ratio of their volumes.
Find the sum of the length of parallel sides of the trapezium whose altitude is 11 cm and area is \( 0.55\ m^2\)
RSTV is a square inscribed in a circle with centre o and radius r. The total area of the shaded region is
Area of circle
Length of diagonal
Side of the square
Area
Area of shaded part
\(ABC \) is a right angled triangle with \(\angle{BAC}=90^o \). \( AH\) is drawn perpendicular to \( BC\). If \(AB=60\ cm \) and \(AC=80\ cm,\ BH=? \)
There cubes whose edges are 3 cm, 4 cm, 5 cm are melted into a single cube. The edge of the now cube is
Total volume
Edge
The volume of a cuboid is \(440\ cm^3 \) and area of its base is \(88\ cm^2 \). Find its height
A hoop is resting vertically at staircase. AB = 12 cm, BC = 8 cm. The radius of the hoop is
The capacity of a closed cylindrical water tank is 9.24 kilo litres. If the height of the cylinder is 1.5m. What is its radius?
A wooden box including the lid has external diameters\(\mathrm{40\ cm} \) by \(\mathrm{34\ cm} \) by \(\mathrm{30\ cm} \). If the wood is \(\mathrm{1\ cm} \) thick, how may \(\mathrm{cm^3} \) of wood is used in it
Internal length of wooden box
Internal breadth
Internal height
Internal volume =
External volume
volume of wood used
A cylindrical tower is 5 metres in diameter and 14 metres high. The cost of white washing its curved surface at 50 paise per \(\mathrm m^2 \) is
A square garden measuring 8 m on a side is surrounded by a 1 m wide path. What is the area of the path?
Area
Side of square including path
Its area
Area of path
A well 12 m deep with a diameter 3.5 m is dug up from a platform 10.5 m long and 8.8 m wide. Find the height of the platform?
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A room is 9 m long, 6 m wide, 4 m high. Find the cost of plastering its walls and celling at the rate of Rs.12.50 per \( \mathrm{m^2}\)
Surface area of walls and celling
The area of a trapezium with equal non parallel sides is \(168\ m^2 \). If the length of the parallel sides are \( 36\ m\) and \( 20\ m\). Find the length of non parallel sides
The perimeter of a square is times the length of the side
A playground which is 250 m long and 20 m broad is to be fenced with wire. How much wire is needed?
The length of a rectangle is \( \dfrac{6}{5}th\) of its breadth. If its perimeter is 132 m, its area will be
The length of diagonal of a square whose area is \(16900\ m^2 \) is