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A right circular cylinder is inscribed in a right circular cone of altitude h and radius of base x. Find the radius of the cylinder if its lateral area is equal to the area of the small cone which surmounts the cylinder.

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What is the volume of a cone that has a radius of 3.5 and a height of 18.5?


Here is the formula for the volume of a cone. Use it to calculate the volume yourself.
Volume of cone =(1/3)(area of base)*(height)
If the cone is a right circular one
Volume =(1/3)(PI *radius^2)*(height)=(1/3)*Pi*[(3.5)^2]*18.5
assuming that the radius and the height are expressed in the same units. The result (after you calculate it) will be in cubic units.

Sep 30, 2014 | Office Equipment & Supplies

1 Answer

Calculate volume of cone


Volume of right circular cone
V=(Area of base)* height/3=PI*(2.2^2)*(4.3)/3 cm^3
Finish the calculation.

Jun 30, 2014 | Office Equipment & Supplies

1 Answer

Find the volume of a cylinder the radius is 8cm the height is 6cm what is the volume


Volume of right cylinder is
V=(Area of base)*height.
If cylinder is circular Area of base =PI*radius^2=Pi*r^2
Volume is V=Pi*(8^2)*6 cm^2
Finish the calculation.

Jun 28, 2014 | Office Equipment & Supplies

1 Answer

Find the volume of a cylinder with the radius 8cm and the height 6cm. Use 3,14 for round answer to the nearest tenth


Volume of right cylinder is
V=(Area of base)*height.
If cylinder is circular Area of base =PI*radius^2=Pi*r^2
Volume is V=Pi*(8^2)*6 cm^2
Finish the calculation.

Jun 28, 2014 | Casio MS-80TE Calculator

1 Answer

Volume of triangular pyramid


Here is to get you started. To increase the size of the image do a CTRL Plus (+) in your browser.
You need to calculate the slant height of the pyramid for the formula of the lateral area. You should find a value of (1/2)*SQRT(203) or about 7.1239 cm

913b74c4-c453-4afa-be3a-c3e781816e8d.png

You need to calculate the altitude (height) of the pyramid from the apex (summit) to the center of the base triangle (center of inscribed circle, barycenter, orthocenter). The hypotenuse of such triangle is the slant height. One leg is the altitude (to be found), the measure of the second leg is (1/3) the altitude of the equilateral triangle that forms the base. You should find (1/3) m MH= (1/3)* (11/2)*SQRT(3)
bc7a3bcd-ec6e-4936-9887-c6372904fe9f.png

1. Calculate the area of the base (use a formula for the equilateral triangle or the general formula for a triangle: you have its height MH ).
2. Lateral area = 3 times the area of triangle Triangle ECD (in yellow above).
3. Total area = area of base + lateral area.
4. Volume= (1/3)(Area of base)* (height of pyramid)
If you can see the details on the screen capture below, fine, Press CTRL + in your browser to increase the size.
1fbf065d-6c1d-440a-9069-783127aa9842.png

Mar 29, 2014 | Office Equipment & Supplies

1 Answer

What is the formula for finding the volume of a cylinder


The formula to find the volume of right prisms and right cylinders is
Volume=(area of base)*height
If the cylinder has a circular base, then the area of the base is PI*R^2
and the volume is Pi*(R^2)*H.
Here R is measure of the Radius, and H is the measure of the Height. R and H must be expressed in the same unit.

Jan 26, 2014 | Texas Instruments TI-84 Plus Calculator

2 Answers

R=8cm, volumne=2411.52 what is the height?


Is this a right circular cone or a right circular cylinder?
Volume of cylinder= Pi*(r^2)*h
Volume of cone is 1/3 of volume of cylinder with same height and radius.
Solve for h
h=(Volume)/(PI*r^2) for cylinder

Dec 05, 2013 | The Learning Company Achieve! Math &...

1 Answer

What size cone is needed to hold 150 gallons


You need a cone with a volume of 150 gallons.
The volume of a right circular cone is given by the formula
V_cone=(Area of base *height)/3
Since cone is circular , its base is a disk with a certain radius r. The formula becomes PI*(r^2)*h/3
As you see there are two variables, the radius and the height. There is an infinite number of combinations (radius, height) that will give you a total volume of 150 gallons. You can choose the radius (r) and solve for h, or you can choose the height then solve for the radius.
I suggest you convert gallons to cubic feet or to cubic meters then put
V=Pi*(r^2)*h/3 where V is the value of volume after conversion.
If you choose the radius, then to isolate h, h=(3*V)/(Pi*r^2)
If you choose the height, then to solve for r
r^2=(3V)/(Pi*h)
and r=square root of (3V/(Pi*h))
Now, it is your turn to carry out the rest of the calculation.
It will consist of the value of the radius, and the value of the height.
If the cone is not right circular, the situation becomes more complicated.

Sep 16, 2013 | Office Equipment & Supplies

1 Answer

How to calculate the weihgt of circular cones


(1/3) x pi x radius2 x height x density = pounds

where ::


radius = radius of base in inches

density = pounds per cubic inch

height = height in inches

(or you could use feet, meters, cm, mm for radius & height and use kg for density or wahtever units you wish as long as the units are consistent)

Charlie

Feb 22, 2011 | American Standard Plumbing

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