Answer:
F
Step-by-step explanation:
Formula
Volume of cone= ⅓πr²h,
where r is the radius and h is the height
Finding radius
Radius= ½(diameter)
Given that the diameter is 3,
radius
= 3 ÷2
= 1.5 in.
Finding volume
Volume of cone
[tex] = \frac{1}{3} ( \frac{22}{7} )( \frac{3}{2} )^{2} (5)[/tex]
[tex] = \frac{1}{3} ( \frac{22}{7} )( \frac{9}{4} )(5)[/tex]
[tex] = \frac{22}{7} ( \frac{3}{4} )(5)[/tex]
[tex] = \frac{11}{7} ( \frac{3}{2} )(5)[/tex]
[tex] = \frac{165}{14} [/tex]
= 11.786 (5 s.f.)
= 11.8 in³ (3 s.f.)
Note:
You could also enter the values into a calculator to find the volume of the cone and use the exact value of π instead of the estimated value of 22/7.
To see another question on volume of cone, you may want to check out this question: https://brainly.com/question/15854683
