If curved surface area of a cylinder is 1386 sq cm and height is 21 cm, what will be its radius? (Take π = $\frac{22}{7}$)1). 21 cms2). 5.25 cms3). 10.5 cms4). 15.75 cms
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1. The radius and the height of a cone are in the ratio 4:3. The ratio of the curved surface area and total surface area of the cone is
2. A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?
3. Perimeter of a rectangle is x and circumference of a circle is 8 more than the perimeter of the rectangle. Ratio of radius of circle and length of the rectangle is 1:2 and ratio of length and breadth of rectangle is 7:3. Find the length of the rectangle ?
4. A cylindrical can whose base is horizontal and is of internal radius 5.7 cm contains sufficient water so that when a solid sphere is placed inside, water just covers the sphere. The sphere fits in the can exactly. The depth of water in the can before the sphere was put is
5. If a hemisphere is melted and four spheres of equal volume are made, the radius of each sphere will be equal to
6. The circumference of a circle is equal to the perimeter of an equilateral Δ. If the radius of the circle is 14 cm what is the length of the side of the equilateral Δ?
7. A circle formed by bending a wire has area 1386 cm2.If the same wire is bent to form a square then what is the area of square?
8. The total surface area of a cube is 1734 cm2. What is the volume of this cube?
9. Two sides of a plot measuring 32 m and 24 m and the angle between them is a perfect right angle.The other two sides sure 25 m each and the other three angles are not right angles. The area of the plot in sq.m. is
10. ABC is a right angled triangle in which $\angle A$ = $90^{0}$, AB = 5 cm and AC = 12 cm. What is the approximate volume (in cu.cm) of the double cone formed by rotating the triangle about its hypotenuse?
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