Answer:
3 cubic inches
Step-by-step explanation:
[tex]volume \: of \: cone = \frac{1}{3} (base \: area)(height)[/tex]
Volume of cone shown= 6 cubic inches
Let the base diameter be 2x.
Therefore, radius= x
[tex] \frac{1}{3} (\pi {x}^{2})(6) = 6 \\ \frac{1}{3} \pi {x}^{2} = 1 \: \: \: \: \: ( \div 6 \: throughout)[/tex]
Since the base diameter is the same, the base area is the same.
Using the formula, volume of cone[tex] = \frac{1}{3} (\pi {x}^{2}) (3)[/tex]
Subst. the known value of [tex] \frac{1}{3} \pi {x}^{2} [/tex] into the equation.
Thus, volume of cone= 1(3)= 3 cubic inches
