PLZ HELP - The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.
2 inches
3 inches
5 inches
9 inches
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PLZ HELP - The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.
2 inches
3 inches
5 inches
9 inches
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Answer:
your Answer is 3 Inches
Step-by-step explanation:
Explanation:
The formula for the Volume of a cone is:
V
=
π
r
2
h
3
Where:
V
is the Volume of the cone:
141.3
in
3
for this problem.
r
is the radius of the cone: what we are solving for in this problem.
h
is the height of the cone:
15
in
for this problem.
Substituting and solving for
r
gives:
141.3
in
3
=
π
×
r
2
×
15
in
3
141.3
in
3
=
π
×
r
2
×
5
in
141.3
in
3
5
in
=
π
×
r
2
×
5
in
5
in
141.3
in
3
2
5
in
=
π
×
r
2
×
5
in
5
in
141.3
in
2
5
=
π
r
2
28.26
in
2
=
π
r
2
28.26
in
2
π
=
π
r
2
π
28.26
in
2
π
=
π
r
2
π
28.26
in
2
π
=
r
2
We can use 3.1416 to estimate
π
giving:
28.26
in
2
3.1416
=
r
2
9
in
2
=
r
2
rounded to the nearest inch.
Now, take the square root of each side of the equation to find the radius of the cone while keeping the equation balanced:
√
9
in
2
=
√
r
2
3
in
=
r
r
=
3
in
The radius of the cone rounded to the nearest inch is 3 inches.
Answer:
Your answer is 3 inches
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