PART A B AND C pretty please lol

label Algebra
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May 14th, 2015

This is assuming that the 9 ft on the diagram means the length of the entire line, i.e. the diameter.

Part a: The radius of the hemisphere is 4.5 feet.

Part b: The volume of a sphere with a diameter of 9 feet is 381.7 cubic feet.

Part c: The volume of the hemisphere is 190.9 (190.85) cubic feet. 190.9 rounded to nearest tenth.

May 14th, 2015

@Samuel H. How did you get the answers?

May 14th, 2015

Part a: The radius of a circle is the distance from the center of the circle (the origin) to the outside of the circle (the perimeter). Since the longest distance (diameter) from side to side of this circle is 9 feet, the radius is half of that which is 4.5 feet.

Part b: The formula for the volume of a sphere is as you have written on your sheet there: V = (4/3)*pi*r^3. Substituting r = 4.5 into this equation gives 381.7 cubic feet.

Part c: Since the hemisphere is half of the sphere, its volume is half that of the sphere and thus by dividing the answer for Part b by 2 we get 190.9 cubic feet.

Note that if you use your value of pi as 3.14 or another rounded number your number may be extremely slightly different to these values as I have used the pi button on the calculator to give greater accuracy.

May 14th, 2015

Thx

May 14th, 2015

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