what is the volume of sand in bucket of base diameter 95 CM in diameter 125 cm and height 100 cm
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diameter of bigger circular end of bucket , D = 125cm
so, radius of bigger circular end of bucket , R = 62.5 cm
diameter of smaller circular end of bucket, d = 95cm
so, radius of smaller circular end of bucket , r = 47.5 cm
height of bucket , h = 100 cm
now, volume of bucket =![\frac{1}{3}\pi h[r^2+R^2+rR] \frac{1}{3}\pi h[r^2+R^2+rR]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi+h%5Br%5E2%2BR%5E2%2BrR%5D)
=![\frac{1}{3}\pi 100[(47.5)^2+(62.5)^2+(42.5)(62.5)] \frac{1}{3}\pi 100[(47.5)^2+(62.5)^2+(42.5)(62.5)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi+100%5B%2847.5%29%5E2%2B%2862.5%29%5E2%2B%2842.5%29%2862.5%29%5D)
=![\frac{1}{3}\times3.14\times100[2256.25+3906.25+2968.75] \frac{1}{3}\times3.14\times100[2256.25+3906.25+2968.75]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes3.14%5Ctimes100%5B2256.25%2B3906.25%2B2968.75%5D)
=![\frac{314}{3}[9131.25] \frac{314}{3}[9131.25]](https://tex.z-dn.net/?f=%5Cfrac%7B314%7D%7B3%7D%5B9131.25%5D)
= 955,737.5 cm³
so, radius of bigger circular end of bucket , R = 62.5 cm
diameter of smaller circular end of bucket, d = 95cm
so, radius of smaller circular end of bucket , r = 47.5 cm
height of bucket , h = 100 cm
now, volume of bucket =
=
=
=
= 955,737.5 cm³
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