Math Worksheet 3.6 Optimization Page 2
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10Calculus Maximus
WS 3.6: Optimization
3. A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If
the cylinder is open at both ends, find the largest possible surface area of
the cylinder.
2
2
2
π
A =
A =
=
(A)
8 cm
(B)
16 cm
(C)
A
16 cm
2
2
2
π
π
A =
=
=
(D)
(E)
(F)
2 cm
A
8 cm
A
4 cm
2
2
2
π
A =
=
A =
(G)
4 cm
(H)
A
2 cm
(I)
2 cm
( )
=
4. The point on the curve
that is nearest the point
1,4 occurs at the point
y
2
x
(
)
(
)
(
)
(
)
(
)
(A)
(B)
(C)
(D)
(E)
1, 2
2,2
4, 2 2
0,0
8, 4
Page 2 of 10
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