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प्रश्न
The height of a cone is 15 cm. If its volume is 1570 cm3, find the radius of its base. [Use π = 3.14]
उत्तर
Height (h) of cone = 15 cm
Let the radius of the cone be r.
Volume of cone = 1570 cm3
`1/3pir^2h` = 1570 cm3
`rArr(1/3xx3.14xx r^2 xx15) cm` = 1570 cm3
⇒ `1/3 xx 314/100 xxr^2 xx 15 = 1570`
⇒ `r^2 = (1570 xx3 xx100)/(314 xx 15)`
⇒ r2 = 100 cm2
⇒ r = 10 cm
Thus, the required radius of the base is 10 cm.
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