Answer the following
1. Three cubes of each side 4cm are joined end to end. Find the surface area of resulting cuboid.
2. The dimensions of a cubiod are in the ratio of 1 : 2 : 3 and its total surface area is 88m2. Find the dimensions.
3. A cuboidal oil tin is 30cm X 40cm X 50cm. Find the cost of the tin required for making 20 such tins if the cost of tin sheet is Rs. 20/m2.
4. The diameter of a garden roller is 1.4m and it is 2m long. How much area will it cover in 5 revolutions? (π= 22/7)
5. A cone of height 24cm and slant height 25cm has a curved surface area 550cm2. Find its volume (π= 22/7)
6. A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around to a width of 5m to form an embankment. Find the height of embankment.
7. A semi circular sheet of metal of diameter 28cm is bent into an open conical cup. Find the depth and capacity of cup.
8. A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of the copper used in making the pipe.
9. Water in a canal, 30dm wide and 12dm deep is flowing with a velocity of 20km per hour. How much area will it irrigate in 30min, if 9cm of standing water is desired? (10dm = 1 meter)
10. A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6cm and its height is 4cm. Find the cost of painting the toy at the rate of Rs. 5 per 1000cm2.
11. Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm.
12. A hemispherical bowl of internal diameter 36cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3cm and height 6cm. How many bottles are required to empty the bowl?
13. If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?
14. Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2m in diameter and 4.5m high. How much steel was actually used, if 1/12 of steel actually used was wasted in making the closed tank.
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