Advertisements
Advertisements
प्रश्न
In the given figure, find the area of the unshaded portion within the rectangle. (Take π = 22/7).
उत्तर
In the given figure
Radius of circle = 3 cm
Length of rectangle = 15 cm
Breadth of rectangle = 6 cm
The area of the unshaded portion within the rectangle
= Area of rectangle - [ Area of I + II + `1/2`III ] circles
= 15 x 6 - [ Area of `2 1/2` circles ]
= 90 - `5/2` x πr2
= 90 - `5/2` x 3.14 x 32
= 90 - 70.65
= 19.35 cm2.
APPEARS IN
संबंधित प्रश्न
The adjoining figure represents a solid consisting of a cylinder surmounted by a cone at one end and a hemisphere at the other. Find the volume of the solid.
The radii of internal and external surfaces of a hollow spherical shell are 3 cm and 5 cm, respectively. It is melted and recast into a solid cylinder of diameter 14 cm. Find the height of the cylinder.
The rain water from a 22 m × 20 m roof drains into a cylindrical vessel of diameter 2 m and height 3.5 m. If the rain water collected from the roof fills `4/5` th of the cylindrical vessel, then find the rainfall in centimetre.
The diameter of a sphere is 14 cm. Its volume is
A hollow metallic sphere with external diameter 8 cm and internal diameter 4 cm is melted and moulded into a cone of base radius 8 cm. The height of the cone is
In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is ______.
A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere. The radius of the sphere is ______.
From a solid cube of side 7 cm, a conical cavity of height 7 cm and radius 3 cm is hollowed out. Find the volume of the remaining solid.
How many spherical lead shots each of diameter 4.2 cm can be obtained from a solid rectangular lead piece with dimensions 66 cm, 42 cm and 21 cm.
Water flows through a cylindrical pipe, whose inner radius is 1 cm, at the rate of 80 cm/sec in an empty cylindrical tank, the radius of whose base is 40 cm. What is the rise of water level in tank in half an hour?
