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Volume Calculator

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Volume calculator

Using a volume calculator is easy & you will have to only fill the parameters in the respective fields to get the result.

Capsule Calculator

Side Length(a):
Radius(r):
Units:
Capsule Volume:

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What is meant by volume?

Essentially, volume is stated to be the quantity of the 3 – dimensional space which is said to be enclosed by a closed surface. In addition to this, volume is generally quantified numerically with the help of the SI derived unit which is the cubic metre. The best example for such a case is the space which either a shape or the solid / gas / plasma / liquid tends to occupy or has.

Furthermore, the volume of the container is stated to be the capacity of container. When it comes to differential geometry, volume form is the way through which volume is expressed while in thermodynamics, volume turns out to be the fundamental parameter apart from being the conjugate variable to pressure.

Parameters related to volume

The parameters related to volume are as follows – h = height / s = slant height / a = side length / e = lateral edge length / r=(\frac{a}{2}) / V = volume / L = lateral surface area / B = base surface area / S = total surface area.

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Formulae related to Volume

  1. Capsule volume

\(Volume =\pi r^{2}((\frac{4}{3})r+a)\)

\(Surface \quad Area=2\pi r(2r+a)\)

  1. Circular Cone Volume & Surface Area

\(Volume=(\frac{1}{{3}})\pi r^{2}h\)

\(Lateral \quad Surface \quad Area=\pi rs=\pi r\sqrt{( r^{2}+ h^{2})}\)

\( Base \quad Surface\quad Area= \pi r^{2}\)

\(Total \quad Surface\quad Area =L+B=\pi rs+\pi r^{2}=\pi r(s+r)\)

  1. Circular Cylinder Volume

\(Volume =\pi r^{2}h\)

\(Top \quad surface \quad Area =\pi r^{2}\)

\(Bottom \quad Surface \quad Area =\pi r^{2}\)

\(Total \quad Surface \quad Area =L+T+B=2\pi r h+2(\pi r^{{2}}) =2\pi r(h+r)\)

  1. Conical Frustum Volume

\(Volume =(\frac{1}{3})\pi h ({r_{1}}^{2}+{r_{2}}^{2}+(r_{{1}}+r_{{2}}))\)

\( Lateral \quad Surface \quad Area =\pi (r_{1}+r_{2})s=\pi(r_{{1}}+r_{{2}})\sqrt{((r_{{1}}-r_{{2}}){2}+ h^{2})}\)

\(Top \quad Surface \quad Area=\pi {r_{1}}^{2}\)

\(Base \quad Surface \quad Area=\pi {r_{2}}^{2}\)

\(Total \quad Surface \quad Area =\pi({r_{1}}^{2}+{r_{2}}^{2}+(r_{{1}}\times r_{{2}})\times s)=\pi[{r_{{1}}}^{2}+{r_{2}}^{2}+(r_{{1}}\times r_{{2}})\times \sqrt{((r_{{1}}-r_{{2}})^{2}+ h^{2}}]\)

  1. Cube Volume

\(Volume= a^{3}\)

\(Surface \quad Area =6 a^{2}\)

  1. Hemisphere Volume

\(Volume=(\frac{2}{3})\pi r^{3}\)

\(Curved \quad Surface\quad Area =2\pi r^{2}\)

\(Base \quad Surface\quad Area =\pi r^{2}\)

\(Total \quad Surface\quad Area =(2\pi r^{2})+(\pi r^{2})=3\pi r^{2}\)

  1. Pyramid Volume

\(Volume =(\frac{1}{3})a^{2}h\)

\(Lateral \quad Surface \quad Area =a\sqrt{(a^{2}+4h^{2})}\)

\(Base \quad Surface \quad Area =a^{2}\)

\(Total\quad Surface \quad Area =L+B=a^{2}+a\sqrt{(a^{2}+4h^{2})}=a(a+\sqrt{(a^{2}+4h^{2})})\)

  1. Rectangular Prism Volume

\(Volume=lwh\)

\(Surface \quad Area =2(lw+lh+wh)\)

  1. Sphere Volume

\(Volume=(\frac{4}{{3}})\pi r^{3}\)

\(Surface \quad Area =4\pi r^{2}\)

  1. Spherical Cap Volume

\(Volume =(\frac{1}{3})\pi h^2(3R-h)\)

\(Surface \quad Area =2\pi Rh\)

How to use a volume calculator?

When you are required to use a volume calculator, you will have to 1st select the type of volume to be calculated. And when you have selected the category then start entering the values to get to know as to what would be the result. However, you will have to remember that the values entered are correct; in order to get the right result.

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