Select any one parameter and write its value. The calculator will take instants to find all other entities of a hemisphere in terms of simple and 𝜋-related calculations.
The hemisphere calculator lets you locate the different properties of hemisphere from any 1 known variables. additionally, this on-line device calculates the variables in phrases of Pi (ᴨ). The calculator allows you to determine the variables from the following regarded variable.
By means of the use of this Hemisphere calculator, you will be capable of calculate the quantity of a hemisphere in addition to the floor location of a hemisphere with the circumference of the base. read on!
As it's far the field divided into halves, so its calculations is the same as the calculations for the field simply divided by using .
$$ V = \frac{2}{3}\pi r^3 $$
$$ C = 2 \pi r $$
$$ A = 2 \pi r^2 $$
$$ B = \pi r^2 $$
$$ K = 3 \pi r^2 $$
When the volume given, calculate the radius, curved surface area, circumference and total surface area with the following formula: $$ r = \text {cube root}\frac{3V}{2\pi} $$
Example:
The volume is 35ft3, find the radius, curved surface area, total surface area and circumference of the half circle?
Solution:
The formula used by this calculation is:
$$ r = \text {cube root}\frac{3V}{2\pi} $$
$$ r = \text {cube root}\frac{3(35)}{2(3.14)} $$
$$ r = \text {cube root}\frac{105}{6.28} $$
$$ r = \text {cube root}(16.71) $$
$$ r = \text 2.55ft $$
To calculate curved surface area:
$$ A = 2 \pi r^2 $$
$$ A = 2 (3.14) (2.55)^2 $$
$$ A = 2 (3.14) (6.50) $$
$$ A = 41.08 ft^2 $$
Now, the total surface area of hemisphere can be calculated from the following formula:
$$ K = 3 \pi r^2 $$
$$ K = 3 (3.14) (2.55)^2 $$
$$ K = 3 (3.14) (6.50) $$
$$ K = 61.62 ft^2 $$
Now, use the formula for circumference to calculate it:
$$ C = 2 \pi r $$
$$ C = 2 (3.14) (2.55) $$
$$ C = 16.04 ft $$
When the curved surface given, calculate the radius, volume, circumference and total surface area with the following formula: $$ r = \sqrt {(\frac{A}{2\pi})} $$
Example:
If the curved surface area is 46ft2, find the radius, volume, circumference & total surface area?
Solution:
The formula used to calculate radius from the above scenario is:
$$ r = \sqrt {(\frac{A}{2\pi})} $$
$$ r = \sqrt {(\frac{46}{2 (3.14)})} $$
$$ r = \sqrt {(\frac{46}{6.28})} $$
$$ r = \sqrt {7.32} $$
$$ r = 2.70 $$
To find volume of a hemisphere, the calculator uses the following formula:
$$ V = \frac{2}{3}\pi r^3 $$
$$ V = \frac{2}{3}(3.14) (2.70)^3 $$
$$ V = \frac{2}{3}(3.14) (19.68) $$
$$ V = \frac{2}{3}(61.80) $$
$$ V = \frac{123.60}{3} $$
$$ V = 41.49 ft^3 $$
For calculation of circumference,
$$ C = 2 \pi r $$
$$ C = 2 (3.14) (2.70) $$
$$ C = 17 ft $$
Now, total surface area is calculated as:
$$ K = 3 \pi r^2 $$
$$ K = 3 (3.14) (2.70)^2 $$
$$ K = 3 (3.14) (7.29) $$
$$ K = 69 ft^2 $$
When the total surface area given, calculate the radius, volume, curved surface area and circumference with the following formula: $$ r = \sqrt {(\frac{K}{3\pi})} $$
Example:
The total surface area is 85ft2, then find out the radius & other different variables related to hemisphere?
Solution:
To calculate the radius,
$$ r = \sqrt {(\frac{K}{3\pi})} $$
$$ r = \sqrt {(\frac{85}{3(3.14)})} $$
$$ r = \sqrt {(\frac{85}{9.42})} $$
$$ r = \sqrt {9.02} $$
$$ r = 3 ft $$
To find the volume of hemisphere,
$$ V = \frac{2}{3}\pi r^3 $$
$$ V = \frac{2}{3} (3.14) (3)^3 $$
$$ V = \frac{2}{3} (3.14) (27) $$
$$ V = \frac{2}{3} (84.78) $$
$$ V = \frac{169.56}{3} $$
$$ V = 56.71 ft^3 $$
For the calculation of curved surface area,
$$ A = 2 \pi r^2 $$
$$ A = 2 (3.14) (3)^2 $$
$$ A = 2 (3.14) (9) $$
$$ A = 56.62 ft^2 $$
Now, the circumference is:
$$ C = 2 \pi r $$
$$ C = 2 (3.14) (3) $$
$$ C = 18.86 ft $$
When the circumference is given, calculate the radius, volume, curved surface area and total surface area with the following formula: $$ r = \frac {C}{2(\pi)} $$
Example:
The circumference of the half circle is 25ft; find the radius, volume, curved surface area & total surface area of the hemisphere?
Solution:
To calculate the radius,
$$ r = \frac {C}{2(\pi)} $$
$$ r = \frac {25}{2(3.14)} $$
$$ r = \frac {25}{6.28} $$
$$ r = 3.979ft $$
Now, to find the volume:
$$ V = \frac{2}{3}\pi r^3 $$
$$ V = \frac{2}{3}(3.14) (3.979)^3 $$
$$ V = \frac{2}{3}(3.14) (62.99) $$
$$ V = \frac{2}{3}(197.78) $$
$$ V = \frac{395.56}{3} $$
$$ V = 131.94 ft^3 $$
The area of the curved surface is,
$$ A = 2 \pi r^2 $$
$$ A = 2 (3.14) (3.979)^2 $$
$$ A = 2 (3.14) (15.83) $$
$$ A = 99.47 ft^2 $$
The total surface area of the hemisphere is:
$$ K = 3 \pi r^2 $$
$$ K = 3 (3.14) (3.979)^2 $$
$$ K = 3 (3.14) (15.83) $$
$$ K = 149.217ft^2 $$
when a plane passes via the centre or starting place of the field & dividing it into two halves, then half of circles are created every is referred to as hemisphere. It consists of the surface vicinity of a curved floor in addition to the area of base. because the hemisphere is half of of the circle, so its extent is 1/2 of the volume of the field of corresponding radius.
A sphere is three-dimensional solid with a round shape, like circle. Total surface area (TSA) of a sphere can be found as: $$ Surface Area= 4 \pi r^2 $$
The basic formula to calculate the diameter of the half circle is: $$ d= 2r $$ First of all, r is calculated according to the above mentioned calculation method with different known parameters.
The word comes from the Greek language and combines with the hemi prefix which means “half”. So, it means “the half of the sphere”. The Earth is divided into northern & Southern hemispheres.
From the source of Wikipedia: Hemisphere, As half of the Earth, As 1/2 of the mind, and different. From the source of nationalgeographic: All you need to explore about hemispheres The website online ck12 gives: Spheres and Hemi-spheres: surface place and quantity (ultimate and simple guide)
