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Yanka [14]
3 years ago
9

A cone has a radius of 5 inches and a height of 5 inches.

Mathematics
2 answers:
vladimir1956 [14]3 years ago
5 0
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
rjkz [21]3 years ago
5 0

Answer:

Option 4th is correct

130.8 in³

Step-by-step explanation:

Volume of a cone (V) is given by:

V = \frac{1}{3} \pi r^2h              .....[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 \pi = 3.14

Substitute these in [1] we have;

V = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot 5

⇒V= \frac{1}{3} \cdot 3.14 \cdot 125

Simplify:

V = 130.833334 in³

Therefore, the volume of the cone to the nearest tenth is, 130.8 in³

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