Respuesta :
Answer:
- 3419.46 in³
Step-by-step explanation:
Use the volume formula
- V = (1/3)πr²h
Given
- r = 11 in
- h = 27 in
- π = 3.14 (rounded)
Substitute and calculate
- V = (1/3)(3.14)(11²)(27) = 3419.46 in³
Answer:
3421.2 in³ (nearest tenth)
Step-by-step explanation:
Volume of a cone
[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]
where:
- r is the radius
- h is the height
Given:
- r = 11 in
- h = 27 in
Substitute the given values into the formula and solve for V:
[tex]\implies \sf V=\dfrac{1}{3} \pi (11)^2(27)[/tex]
[tex]\implies \sf V=\dfrac{1}{3} \pi (121)(27)[/tex]
[tex]\implies \sf V=\dfrac{3267}{3} \pi[/tex]
[tex]\implies \sf V=1089 \pi[/tex]
[tex]\implies \sf V=3421.2\:\:in^3\:\:(nearest\:tenth)[/tex]