What is the volume of a 42cm sphere?
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What is the volume of a 42cm sphere?
38808 cu cm
Detailed Solution. ∴ The volume of sphere is 38808 cu cm.
How do you find the volume of a sphere given the diameter?
The volume of a sphere (V) in terms of its radius (r) is V = (4/3) π r3. If d is its diameter, we have d = 2r. From this, we get r = (d/2). Substituting this in the volume formula, the volume of a sphere in terms of diameter is V = (πd3)/6.
What is the volume of the hemispherical dome taking diameter of the dome as 42 Metre?
Solution : A hemisphere of diameter 42 cm. Therefore, the volume of hemisphere is 19404 cm³.
Which is the formula for the volume of a sphere with diameter D?
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.
What will be TSA of a sphere having radius 3.5 cm?
Surface area of a sphere is equal to 4 π R Square.. Therefore surface area of the sphere equal to- 4*(22/7)* 3.5*3.5 =154 sq cm.
What is the radius of a wheel which covers a distance of 528 km in 42 revolution?
Radius of the Wheel is 2 cm.
Why is it 4 3 for volume of a sphere?
Since the cylinder/cone and hemisphere have the same height, by Cavalieri’s Principle the volumes of the two are equal. The cylinder volume is πR3, the cone is a third that, so the hemisphere volume is 23πR3. Thus the sphere of radius R has volume 43πR3. Integration.
What is the diameter of one sphere?
= 2 r
There are four main formulas for a sphere which include sphere diameter formula, sphere surface area, and sphere volume….Formulas of a Sphere.
| Sphere Formulas | |
|---|---|
| Diameter of a Sphere | D = 2 r |
| Surface Area of a Sphere | A = 4 π r2 |
| Volume of a Sphere | V = (4 ⁄ 3) π r3 |
What is hemispherical dome?
The hemispherical dome is a surface formed by the rotation around a vertical axis of a semicircle. Like other “rotational domes” formed by the rotation of a curve around a vertical axis, hemispherical domes have circular bases and horizontal sections and are a type of “circular dome” for that reason.
What is the volume of a hemisphere with a diameter of 45.7 m Rounded to the nearest tenth of a cubic meter?
1 Expert Answer so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed. Since we’re actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.
What is volume of hemisphere?
Hemisphere Volume The volume of the hemisphere is derived by Archimedes. The volume of a hemisphere = (2/3)πr3 cubic units. Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.
How do you find the volume of a 20 foot sphere?
For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet). Alternatively, if the radius is given, multiply it by two to get the diameter or directly use the second equation provided above instead.
What is the volume if the diameter is 42 cm?
If the diameter is 42 cm, then the radius is r = 21 cm. The volume of a sphere is given by V = 4/3*pi*r3. Substitute 21 for r and you get V = 12348*pi. Originally Answered: If the diameter of a sphere is 42 cm, what is its volume?
What is the diameter of a sphere?
The diameter of a sphere is the length of a straight line drawn between two points on the surface of the sphere, where the line also passes through the centre of the sphere. This is the volume contained within a sphere with the specified diameter.
What is the volume of a 5 inch sphere in cubic inches?
For example, if the radius of a sphere is 5 inches, using the second sphere volume equation results in 4/3 x 3.14159 x 5 3 = 4.1866 x 125 = 523.6 in 3 (cubic inches). Cite this calculator & page If you’d like to cite this online calculator resource and information as provided on the page, you can use the following citation: