do it with explanation
Answers
Understanding the question
✺ This question says that there is a hemisphere given it's area is 28,000 m² Now we have to find its diameter.
✺ Area of hemisphere = 28,000 m²
✺ Diameter of hemisphere.
✺ Diameter of hemisphere = 133.54 m
✺ Area of hemisphere formula
✺ Finding radius formula
✺ Area of hemisphere = 2πr²
✺ Diameter = 2r
✺ r means radius.
✺ Diameter as d
✺ π pronounced as pi
✺ Value of π is 22/7
{\bold{\sf{\underline{Converting \: d \: into \: r}}}}
Convertingdintor
~ Using formula = 2r
Fullsolution
~ Finding radius
Finding radius➝ Area = 2πr²
Finding radius➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
Finding radius➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
Finding radius➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
Finding radius
➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
Finding radius
➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
Finding radius➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
➝ √4458.59 = r
Finding radius
➝ Area = 2πr
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
➝ √4458.59 = r
➝ 66.77 = r
Finding radius
➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
➝ √4458.59 = r
➝ 66.77 = r
➝ r = 66.77 m
Finding radius
➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
➝ √4458.59 = r
➝ 66.77 = r
➝ r = 66.77 m~ Finding diameter
Finding radius➝ Area = 2πr²
➝ 28000 = 2 × 22/7 × r²
➝ 28000 = 44/7 × r²
➝ 28000 = 6.28 × r²
➝ 28000 / 6.28 = r²
➝ 4458.59 = r²
➝ √4458.59 = r
➝ 66.77 = r
➝ r = 66.77 m~ Finding diameter
➝ Diameter = 2r
Finding radius➝ Area = 2πr²➝ 28000 = 2 × 22/7 × r²➝ 28000 = 44/7 × r²➝ 28000 = 6.28 × r²➝ 28000 / 6.28 = r²➝ 4458.59 = r²➝ √4458.59 = r➝ 66.77 = r➝ r = 66.77 m~ Finding diameter➝ Diameter = 2r➝ Diameter = 2(66.77)
Finding radius➝ Area = 2πr²➝ 28000 = 2 × 22/7 × r²➝ 28000 = 44/7 × r²➝ 28000 = 6.28 × r²➝ 28000 / 6.28 = r²➝ 4458.59 = r²➝ √4458.59 = r➝ 66.77 = r➝ r = 66.77 m~ Finding diameter➝ Diameter = 2r➝ Diameter = 2(66.77)➝ Diameter = 2 × 66.77
Finding radius➝ Area = 2πr²➝ 28000 = 2 × 22/7 × r²➝ 28000 = 44/7 × r²➝ 28000 = 6.28 × r²➝ 28000 / 6.28 = r²➝ 4458.59 = r²➝ √4458.59 = r➝ 66.77 = r➝ r = 66.77 m~ Finding diameter➝ Diameter = 2r➝ Diameter = 2(66.77)➝ Diameter = 2 × 66.77➝ Diameter = 133.54 m
Finding radius➝ Area = 2πr²➝ 28000 = 2 × 22/7 × r²➝ 28000 = 44/7 × r²➝ 28000 = 6.28 × r²➝ 28000 / 6.28 = r²➝ 4458.59 = r²➝ √4458.59 = r➝ 66.77 = r➝ r = 66.77 m~
Finding diameter➝ Diameter = 2r➝ Diameter = 2(66.77)➝ Diameter = 2 × 66.77➝ Diameter = 133.54 Henceforth, diameter is 133.54 m
Finding radius➝ Area = 2πr²➝ 28000 = 2 × 22/7 × r²➝ 28000 = 44/7 × r²➝ 28000 = 6.28 × r²➝ 28000 / 6.28 = r²➝ 4458.59 = r²➝ √4458.59 = r➝ 66.77 = r➝ r = 66.77 m~ Finding diameter➝ Diameter = 2r➝ Diameter = 2(66.77)➝ Diameter = 2 × 66.77➝ Diameter = 133.54
Henceforth, diameter is 133.54 m