For the following questions answer them individually
- If the sum of radius and height of a solid cylinder is 20 cm and its total surface area is 880 $$cm^{2}$$ then its volume is
A solid sphere and a solid hemisphere have the same total surface area. The ratio of their volumes is (Take, π=22/7)
- The sides of a triangle are in the ratio $$\frac{1}{2}$$: $$\frac{1}{3}$$ : $$\frac{1}{4}$$and its perimeter is 104 cm. The length of the longest side (in cm)
- The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 $$m^{2}$$ in 5 days, Painter B can paint 250 $$m^{2}$$ in 2 days. If A and B work together, they will finish the job in
- The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is
The external and the internal radii of a hollow right circular cylinder of height 15 cm are 6.75 cm and 5.25 cm respectively. If it is melted to form a solid cylinder of height half of the orignal cylinder, then the radius of the solid cylinder is
The length and breadth of a rectangular piece of a land are in a ratio 5:3. The owner spent Rs. 6000 for surrounding it from all sides at Rs.7.50 per metre. The difference between its length and breadth is
The ratio between the area of a square and that of a circle, when the length of a side of the square is equal to that of the diameter of the circle, is (take π=22/7)
- A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of