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bjbass899
30.03.2020 •
Mathematics
The volume of a cone is 20m^3. What is the volume of a cylinder with the same base and height?
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Ответ:
V = 59.97m^3
Step-by-step explanation:
Volume of a cone
V =πr^2h/3
V - volume
π- pie
r - radius
h - height
Given
V = 20
π - 3.14
Since the cylinder has the same base and height
r = h
Let r = h be x
Substitute x for r = h in the formula
V = πr^2h/3
20 = 3.14 * x^2 * x/3
20 = 3.14/3 * x^3
20 = 1.047x^3
x^3 = 20/1.047
x^3 = 19.102
x = 2.673
r = h = x
r = h = 2.673
Volume of a cylinder
V = πr^2h
r = 2.673
h = 2.673
π - 3.14
V = 3.14 * 2.673^2 * 2.673
= 3.14 * 7.145 * 2.673
= 59.97m^3
Ответ:
60 m³
Step-by-step explanation:
V of cone = ⅓ × BA × height
V of cylinder = BA × height
V of cone = ⅓ V of cylinder
V of cylinder = 3 V of cone
= 3(20)
= 60
Ответ:
Its the 2nd one