Mensuration (10)
Areas of Sector and Segment of a Circle, Surface areas and volumes of combinations of solids.
The boilers are used in thermal power plants to store water and then used to produce steam
The boilers are used in thermal power plants to store water and then used to produce steam. One such boiler consists of a cylindrical part in
...Find the area of the sector of a circle of radius 7 cm
Find the area of the sector of a circle of radius 7 cm and of central angle 90°. Also, find the area of corresponding major sector.
If the radius of a semi-circular protractor is 7 cm, then its perimeter is
If the radius of a semi-circular protractor is 7cm, then its perimeter is
- 11 cm
- 14
The diameters of the lower and upper ends of a bucket in the form of a frustum of a
The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10 cm and 30 cm respectively. If its height is 24
...A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m
A heap of rice is in the form of a cone of base diameter 24 m and height 3.5 m. Find the volume of the rice. How much canvas cloth is required to
...A wooden article was made by scooping out a hemisphere from each end of a solid
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. 3. If the height of the cylinder is 10
...Find the area of the shaded region in Fig. 2, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points
Find the area of the shaded region in Fig. 2, where arcs drawn with centres A, B, C and D intersect in pairs at mid-points P, Q, R and S of the
...In a rain-water harvesting system, the rain-water from a roof of 22 m x 20 m drains
In a rain-water harvesting system, the rain-water from a roof of 22 m x 20 m drains into a cylindrical tank having diameter of base 2 m and
...In the given figure, ABCD is a rectangle of dimensions 21 cm x 14 cm
In the given figure, ABCD is a rectangle of dimensions 21 cm x 14 cm. A semicircle is drawn with BC as diameter. Find the area and the perimeter
...The dimensions of a solid iron cuboid are 4.4 m x 2.6 m x 1.0 m
The dimensions of a solid iron cuboid are 4.4 m x 2.6 m x 1.0 m. It is melted and recast into a hollow cylindrical pipe of 30 cm inner radius and
...The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6 cm. Find the curved surface area of the
...Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hour
Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hour. How much area can it irrigate in 40 minutes, if 10 cm of
...In the given figure, two concentric circles with centre O have radii 21 cm and 42 cm
In the given figure, two concentric circles with centre O have radii 21 cm and 42 cm. If $\angle$ AOB = $60^{\circ}$, find the area of the
...Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle
Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm are drawn in the given figure. Find the
...A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm
A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and
...A solid is in the form of a cylinder with hemispherical ends
A solid is in the form of a cylinder with hemispherical ends. The total height of the solid is 20 cm and the diameter of the cylinder is 7 cm.
...ABCD is a square with side $2\sqrt{2}$ cm and inscribed in a circle
ABCD is a square with side $2\sqrt{2}$ cm and inscribed in a circle. Find the area of the shaded region. (Use π = 3·14)
A square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm
A square OABC is inscribed in a quadrant OPBQ. If OA = 15 cm, find the area of the shaded region. (Use π = 3·14)