Answer:
<u>65.4 cubic inches</u>
Step-by-step explanation:
Formula for the volume of a cone :
<u><em>Volume (cone) = 1/3πr²h</em></u>
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Given :
⇒ diameter = 5 in. → radius = <u>2.5 in.</u>
⇒ height = <u>10 in.</u>
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Solving :
⇒ Volume (cone) = 1/3 × π × (2.5)² × 10
⇒ Volume (cone) = 62.5π/3
⇒ Volume (cone) = <u>65.4 cubic inches</u>
Answer:
Circumference(C) of the circle is given by:

where, r is the radius of the circle.
As per the statement:
A circular swimming pool has a radius of 15 ft.
⇒radius of the pool(r) = 15 ft
There is a path all around that pool that is three feet wide.
⇒radius of the outer edge of the path around the pool(r') = 15 +3 = 18 ft
Substitute these in the formula we have;

⇒
Therefore, the circumference of the outer edge of the path around the pool is, 113.04 ft
Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;

Dividing both sides by 3,

Putting y=17 in Eqn 2

Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
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