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28. Milk in a container, which is in the form of a frustum of a cone of height 30 cm and the radi ofwhose lower and upper circular ends are 20 cm and 40 cm respectively, is to be distrilbuted in acamp for flood victims. If this milk is available at the rate of Rs 35 per litre and 880 litres ofmilk is needed daily for a camp, find how many such containers of malk are needed for a cangand what cost will it put on the donor agency for this. What value is indicated through this bythe donor agency?imla triangles is equal to the square of the ratio of |
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Answer» Given--Radius of lower end (R1)= 20cm Radius of upper end (R2)= 40 cm Height (H)= 30 cm So the volume of container= 1/3 pi H ( R1² + R2² + R1R2) = 1/3 * 22/7 * 30 ( (20)² + (40)² + 40* 20) = 1/3 * 22/7 * 30( 400 + 1600 + 800) = 1/3* 22/7 * 30* 2800 = 88000 cm³ or 88 litres. Amount of milk required = 880 litreNo. of containers needed will be= 880/88= 10 containers. Cost of 1 litre milk= Rs. 30So, Cost of 880 litre= 880 * 30 = Rs. 26400 |
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