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2 years ago

The volume of the cone shown below is 108pie cm^3. What is the value of H?

Mathematics

2 answers:

Ludmilka [50]2 years ago

4 0

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

saw5 [17]2 years ago

3 0

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

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