Math, asked by ajnaabdulrasheed, 1 year ago

The volume of a sphere is 972 pi r^3 .if the sphere is cut into two hemisphere . find the total surface area of the hemisphere.

Answers

Answered by Anonymous
17
Volume of sphere = 972 π unit^3

 \frac{4}{3}  \: \pi \:  {r}^{3}  = 972 \: \pi \:  {unit}^{3}  \\  \\  {r}^{3}  = 972 \times  \frac{3}{4}  \:  {unit}^{ 3}  \\  \\  {r}^{3}  = 243 \times 3  \: {unit}^{3}  \\  \\ r =  \sqrt[3]{729 \:  {unit}^{3} }  \\  \\ r = 9 \: units


Total surface area of hemisphere

 = 3 \: \pi \:  {r}^{2}  \\  \\  = 3 \: \pi \:  {9}^{2}  \\  \\  = 243\pi \:  {units}^{2}

anuragdixit80: hi
Anonymous: yes
anuragdixit80: one doubt about your solution
Anonymous: yes say
anuragdixit80: where you wrote the unit r is written in question
anuragdixit80: r is written in the place of unit
anuragdixit80: and r denotes radius
Answered by anuragdixit80
5
972πr^3=4/3πr^3
3×972πr^3=4πr^3
2916/4πr^3=πr^3
729πr^3=πr^3
9πr=πr. (1)
Now surface area of hemisphere
3πr^2
3π(9r)^2
243πr^2 is the surface area of hemisphere...
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