Answer:
x = 3.0 cubic foot.
Explanation:
Given the following data;
Height = 9m
Circumference of base = 19.6m
To find the volume of right circular cone;
First of all, we would determine the radius of the circular base.
Circumference of circle = 2Οr
19.6 = 2*3.142*r
19.6 = 6.284r
Radius, r = 19.6/6.284
Radius, r = 3.12 m
Mathematically, the volume of a right circular cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the formula, we have;
[tex] V = \frac{1}{3} * 3.142 * 3.12^{2} * 9 [/tex]
[tex] V = 3.142 * 3.12^{2} * 3 [/tex]
[tex] V = 9.426 * 9.7344 [/tex]
V = 91.7565
Converting to foot;
1 foot = 30.48 cm
x foot = 91.7565 cm
Cross-multiplying, we have;
91.7565 = 30.48x
x = 91.7565/30.48
x = 3.0104
x = 3.0 (to the nearest cubic foot).
Answer:
x = 3.0 cubic foot.
Explanation:
Given the following data;
Height = 9m
Circumference of base = 19.6m
To find the volume of right circular cone;
First of all, we would determine the radius of the circular base.
Circumference of circle = 2Οr
19.6 = 2*3.142*r
19.6 = 6.284r
Radius, r = 19.6/6.284
Radius, r = 3.12 m
Mathematically, the volume of a right circular cone is given by the formula;
V = 1/3pir^2h
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Converting to foot;
1 foot = 30.48 cm
x foot = 91.7565 cm
Cross-multiplying, we have;
91.7565 = 30.48x
x = 91.7565/30.48
x = 3.0104
x = 3.0 (to the nearest cubic foot).
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