10.8 The Volume of a Sphere

10.8 The Volume of a Sphere 1. A cone has a radius of 8 cm and is 15 cm tall.
What is the lateral area of the cone?
What is the SA
of the cone?
What is the volume
of the cone?
2. A roof of a house has a surface area of 1,025 square feet. A
square of shingles cover 90 square feet and there are 3
bundles/square. If a square costs $110 and a bundle costs $40
how many of each should you order and what will your total cost
be for the shingles?
First figure out the # of squares
Next figure out # of bundles.
Add costs together.
Volume of Spheres:
ex: the amount of water that can be held in a spherical water balloon.
1. The volume of a sphere is found
by the following formula: V =
4
3
3 πr
2. If the radius of a sphere is 15 cm
what is the volume?
3. A soccer ball has a circumference of 24”. What is
the volume of the ball? Remember you must first find
the radius in order to do the volume problem. The
circumference of a circle is as follows: C = 2πr. The
formula to find the volume of a sphere is V = 4/3 πr3
The radius of the sphere for this problem is r = 3.82"
4. The area of a small circle of a sphere
may be calculated by the following formula:
________________, where “r” represents
the RADIUS of the great circle and “h” represents
the height from the great CIRCLE to the small
CIRCLE. In other words the radius of the small circle
is really equal to a leg of a right triangle!
5. The area of the great circle may be
found by the following formula: A = πr2
6. Find the area of a small circle of a sphere
if the radius of the sphere is 10 cm and the distance
from the great circle to the small circle is 6 cm.
7. Find the area of the ring below: The formula
for the area of a ring is as follows: A = _______________,
GREAT CIRCLE and “h”
where r is the radius of the _________________
is the height from the center of the great circle to the
_____________ _____________.
inner circle
Radius of cylinder
is 7 inches.
Height from center point
to inner circle is 2.5 inches.
8. Find the volume of the
following spheres:
Radius = 1cm
Diameter = 8.2cm3
Circumference = 26
9. Give the radius of the sphere
with the given volume.