Respuesta :
volume of a cone = πr²(h/3)
π=3.14
r=5
h=5
v = (3.14)(5)²(5/3)
v = (3.14)(25)(5/3)
v ≈ 130.8 in³
the last choice is your answer, 130.8 in³
π=3.14
r=5
h=5
v = (3.14)(5)²(5/3)
v = (3.14)(25)(5/3)
v ≈ 130.8 in³
the last choice is your answer, 130.8 in³
Answer:
Option 4th is correct
130.8 in³
Step-by-step explanation:
Volume of a cone (V) is given by:
[tex]V = \frac{1}{3} \pi r^2h[/tex] .....[1]
where,
r is the radius of the cone
h is the height of the cone.
As per the statement:
A cone has a radius of 5 inches and a height of 5 inches
⇒r = 5 inches and h = 5 inches
Use [tex]\pi = 3.14[/tex]
Substitute these in [1] we have;
[tex]V = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot 5[/tex]
⇒[tex]V= \frac{1}{3} \cdot 3.14 \cdot 125[/tex]
Simplify:
[tex]V = 130.833334[/tex] in³
Therefore, the volume of the cone to the nearest tenth is, 130.8 in³