Hemisphere Calculator

With just one known variable, you can use the hemisphere calculator to find the unique characteristics of the hemisphere. Furthermore, this web-based tool computes the variables using Pi (ᴨ). You can use the calculator to find the variables based on the next identified variable.

• Radius.
• Overall surface area.
• Amount.
• Surface area that is curved.
• Base diameter.

Through using this Hemisphere calculator, you may be able to calculate the volume of a hemisphere in addition to the surface place of a hemisphere with the circumference of the base. study on!

Hemisphere formulation:

As it's miles the field divided into two halves, so its calculations is similar to the calculations for the sphere just divided by two.

• The method used by this quantity of a hemisphere calculator is as follows:

$$ V = \frac{2}{3}\pi r^3 $$

• The following is the formula for the base's circumference:

$$ C = 2 \pi r $$

• The components for curved surface vicinity is:

$$ A = 2 \pi r^2 $$

• The method for the calculation of the bottom vicinity of a hemisphere:

$$ B = \pi r^2 $$

• General floor place of the hemisphere can be calculated through the following components:

$$ K = 3 \pi r^2 $$

Methods for Manually Calculating the Hemisphere:

Given V, locate r, A, C, ok:

while the quantity given, calculate the radius, curved surface region, circumference and overall floor location with the following formulation $$ r = \text {cube root}\frac{3V}{2\pi} $$

Example:

The volume is 50ft³, find the radius, curved surface area, total surface area, and circumference of the half circle?

Solution:

This computation uses the following formula:

$$ r = \text{cube root} \frac{3V}{2\pi} $$

 

$$ r = \text{cube root} \frac{3(50)}{2(3.14)} $$

 

$$ r = \text{cube root} \frac{150}{6.28} $$

 

$$ r = \text{cube root} (23.89) $$

 

$$ r = 2.89 \, \text{ft} $$

To determine the area of a curved surface:

 

$$ A = 2 \pi r^2 $$

 

$$ A = 2 (3.14) (2.89)^2 $$

 

$$ A = 2 (3.14) (8.36) $$

 

$$ A = 52.48 \, \text{ft}^2 $$

 

Now, the entire surface place of the hemisphere can be calculated from the subsequent formula:

 

$$ K = 3 \pi r^2 $$

 

$$ K = 3 (3.14) (2.89)^2 $$

 

$$ K = 3 (3.14) (8.36) $$

 

$$ K = 78.72 \, \text{ft}^2 $$

 

Now, compute it using the circumference formula::

 

$$ C = 2 \pi r $$

 

$$ C = 2 (3.14) (2.89) $$

 

$$ C = 18.15 \, \text{ft} $$

Often Ask Questions (FAQ’s):

Hemispheres: what are they?

while a aircraft passes via the centre or beginning of the field & dividing it into two halves, then half of circles are created every is referred to as hemisphere. It consists of the floor place of a curved surface as well as the region of base. as the hemisphere is half of the circle, so its extent is half of of the volume of the sphere of corresponding radius.

What gives it the name "hemisphere"?

The word comes from the Greek language and combines with the hemi prefix which means that “half”. So, it method “the half of the sector”. The Earth is split into northern & Southern hemispheres.