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प्रश्न
A container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container at the rate of ₹21 per litre.
उत्तर
We have,
Height, h = 24 cm,
Upper radius, R = 20 cm ad
Lower radius, R = 8 cm
Now,
A container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container at the rate of ₹21 per litre.
Volume of the the container `= 1/3pi"h"("R"^2+r^2+Rr)`
`= 1/3 xx 22/7xx24xx(20^2 + 8^2 +20xx8)`
`= 176/7xx(400+64+160)`
`=176/7xx624`
`=109824/7 "cm"^3`
`= 109824/7 "L"` (As, 1000 Cm3 = 1 L)
So, the cost of the millk in the container `= 109.824/7 xx 21`= 329.4712
≈ ₹ 329.47
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