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 is1). 5:92). 3:73). 5:44). 16:9
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1. The radius of the base of a conical vessel is 100 cm and its height is 21 cm. This vessel is full of water. This water is poured into a cylindrical vessel having base radius 10 cm. The depth of water in the vessel is
2. The number of spherical bullets that can be made out of a solid cube of lead whose edge measures 44 cm, each bullet being of 4 cm diameter, is (take π=22/7)
3. The difference of perimeter and diameter of a circle is X unit. The diameter of the circle is
4. Three circles of radii 3.5 cm, 4.5 cm and 5.5 cm touch each otherexternally. Then the perimeter of the triangle formed by Joining the centres of the circles, in cm, is
5. If the height of a triangle is decreased by 40% and it?s base is increased by 40% , what will be the effect on its area?
6. From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is
7. The ratio of the volumes of a right circular cylinder and a sphere is 3 ∶ 2. If the radius of the sphere is double the radius of the base of the cylinder; find the ratio of the surface areas of the cylinder and the sphere?
8. A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted?
9. A spherical shell has an inner radius of 10 cm. The outer radius is 50% more in length than inner radius. This shell is cut into two equal halves. What will be the total surface area of each half (in square cm)? (Take π = 3.14)
10. The diagonals of two squares are in the ratio 5:2.The ratio of their area is
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