homework 01 – GADHIA, TEJAS – Due: Jan 27 2007, 4:00 am
1
Question 1
part 1 of 1
10 points
A spherical balloon with radius
r
inches has
volume
4
3
πr
3
. Find a function that represents the amount
of air required to in±ate the balloon from a
radius of
r
inches to a radius of
r
+ 2 inches.
1.
4
3
πr
3
2.
4
3
π
(
4
r
+ 6
r
2
+ 8
)
3.
4
3
π
(
r
+ 2)
3
4.
4
3
π
(
12
r
+ 2
r
2
+ 8
)
5.
4
3
π
(
12
r
+ 6
r
2
+ 8
)
Question 2
part 1 of 1
10 points
An open rectangular box with volume 2
m
3
has a square base. Express the surface area of
the box as a function
S
(
x
) of the length
x
of
a side of the base.
1.
S
(
x
) = 2
x
+
2
x
2.
S
(
x
) =
x
2
+
4
x
2
3.
S
(
x
) =
x
2
+
8
x
4.
S
(
x
) =
x
2
+
4
x
5.
S
(
x
) = 2
x
2
+
2
x
2
6.
S
(
x
) =
x
2
+
8
x
2
Question 3
part 1 of 1
10 points
A newly discovered Jupiterlike planet has
an average radius 11 times that of the Earth
and a mass 314 times that of the Earth.
Calculate the ratio of new planet’s mass
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