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प्रश्न
"The volume of a cone V is equal to the product of one third of π and square of radius r of the base and the height h". Express this statement as a formula. Make r the subject formula. Find r, when V = 1232cm3, π = `(22)/(7)`, h = 24cm.
उत्तर
Volume of cone = V
Product of one third of π and square of radius r of the base and the height h = `(1)/(3)pi"r"^2"h"`
So, V = `(1)/(3)pi"r"^2"h"`
⇒ `(3"V")/(pi"h")` = r2
⇒ r = `sqrt((3"V")/(pi"h")`
Substituting V = 1232cm3, π = `(22)/(7)`, h = 24cm
⇒ r = `sqrt((3 xx 1232)/(22/7 xx 24)`
= `sqrt(49)`
= 7cm.
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