The answer is 1,695.6 in³.
The volume of the empty space is the difference of the bigger cylinder and the smaller cylinder: V = V1 - V2
The volume of the bigger cylinder is:
V1 = π r² h
r = 10 in
h = 15 in
π = 3.14
V1 = 3.14 * 10² * 15 = 4,710 in³
The volume of the smaller cylinder is:
V2 = π r² h
r = 8 in
h = 15 in
π = 3.14
V2 = 3.14 * 8² * 15 = 3,014.4 in³
The volume of the empty space is:
V = V1 - V2 = 4,710 in³ - 3,014.4 in³ = 1,695.6 in³
Answer:
What is the arc length and sector area for the following circle. Round your answer to 4 decimal places. *
Step-by-step explanation:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
Step 1: Simplify both sides of the equation.
2
−
3
(
2
x
−
1
)
=
−
6
x
+
5
2
+
(
−
3
)
(
2
x
)
+
(
−
3
)
(
−
1
)
=
−
6
x
+
5
(Distribute)
2
+
−
6
x
+
3
=
−
6
x
+
5
(
−
6
x
)
+
(
2
+
3
)
=
−
6
x
+
5
(Combine Like Terms)
−
6
x
+
5
=
−
6
x
+
5
−
6
x
+
5
=
−
6
x
+
5
Step 2: Add 6x to both sides.
−
6
x
+
5
+
6
x
=
−
6
x
+
5
+
6
x
5
=
5
Step 3: Subtract 5 from both sides.
5
−
5
=
5
−
5
0
=
0
