Since the polyhedron is about 78.5 m², the radius of the sphere is 2.5 m
Since the sum of the faces of the polyhefron equals the surface area of the sphere, we find its surface area.
<h3>What is the surface area of sphere?</h3>
The surface area of sphere is given by A = 4πr² where r = radius of sphere
<h3>Radius of the sphere</h3>
Making r subject of the formula, we have
r = √(A/4π)
Given that he sum of all the faces of the polyhedron is about 78.5 square meters, this is equal to the surface area of the sphere.
So, A = 78.5 m²
Substituting this into the equation for r, we have
r = √(A/4π)
r = √(78.5 m²/4π)
r = √(19.625 m²/π)
= √(6.246 m²)
= 2.499 m
≅ 2.5 m
So, the radius of the sphere is 2.5 m
Learn more about radius of sphere here:
brainly.com/question/13458041
#SPJ1
Answer:
25 feet
Step-by-step explanation:
20^2 + 15^2 = 625
square root of 625 is 25
Answer:$40.00
Step-by-step explanation:first divide 20 by 5 and the answer will be 4. now multiply 10 into 4 and you'll get the answer $40.00
your answer should be 160
b if you times both of the numbers
Based on the radius of the being 4 units and the area of the equilateral triangle, the area of the shaded area is 32.85 units².
<h3>What is the area of the shaded area?</h3>
First, find the area of the triangle.
The center of a triangle divides the median into a 2:1 ratio which means that the radius can be found as:
Radius = 1/3 x Area of Equilateral triangle
4 = 1/3 x (√3/ 2)a
a can be worked out to be:
= 8√3
The area of the triangle is:
= (√3 / 4) x a²
= (√3 / 4) x (8√3 )²
= 83.14 units ²
The area of the circle is:
= π x radius²
= 22/7 x 4 x 4
= 50.29 units²
The area of the shaded area is therefore:
= 83.14 - 50.29
= 32.85 units²
In conclusion, the area of the shaded area is 32.85 units².
Find out more on area at brainly.com/question/1297097.
#SPJ1