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Murrr4er [49]
3 years ago
15

This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit

e is placed in orbit. What is the volume of the nose cone?
45  cubic feet
60  cubic feet
90  cubic feet
180  cubic feet

Thank you :)

Mathematics
2 answers:
ioda3 years ago
4 0

Answer:

45\pi\ ft^3

Step-by-step explanation:

The volume of the cone can be calculated using formula

V_{cone}=\dfrac{1}{3}\cdot \pi r^2\cdot H,

where r is the radius of the base circle and H is the height of the cone.

Since r=3\ ft (half of the diameter given in the diagram) and H=15\ ft, then

V_{cone}=\dfrac{1}{3}\cdot \pi \cdot 3^2\cdot 15=45\pi\ ft^3.

egoroff_w [7]3 years ago
3 0
The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3
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