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McGraw Hill Integrated II, 2012 View details

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Exercise 28 Page 873

The volume of a hemisphere is half the volume of a sphere with the same radius.

3619.1m^3

Practice makes perfect

A hemisphere is the name of a solid that is half of a sphere.

Therefore, the volume of a hemisphere with radius r is half the volume of a sphere with radius r. Volume of a Hemisphere [0.8em] V=1/2(4/3π r^3) ⇔ V=2/3π r^3 To use this formula we first need to calculate the radius. To do so, we will consider the given fact that the circumference of a great circle is 24π meters. Let's recall the formula for the circumference of a circle with radius r. C=2π r We can substitute 24π for C in the above formula and solve for the radius r.

C=2π r

Substitute

C= 24π

24π=2π r

▼

Solve for r

DivEqn

.LHS /2π.=.RHS /2π.

12=r

RearrangeEqn

Rearrange equation

r=12