Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
<u>Given variable</u>
θ = 270°
r = 7 mi
<u>Given formula</u>
A = (θ / 360) πr²
<u>Substitute values into the formula</u>
A = (270 / 360) π (7)²
<u>Simplify exponents</u>
A = (270 / 360) π 49
<u>Simplify by multiplication</u>
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
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Answer: here u go
Step-by-step explanation:
Great question! I had this question in Geometry on Edmentum.
Answer: Height of cone = 3y
Step-by-step explanation:
We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.
So, the height of the cone is equal to 3y.
Hope this helps, and have a wonderful day! :D
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