Physics, asked by b200442, 3 months ago

moon approximately a sphere of radius 1.737×10power8cm .what is its surface area in square kilometer?

Answers

Answered by nilesh102
1

Given data : The Moon approximately a sphere of radius 1.737 * 10^( 8 ) cm.

To find : The surface area of the Moon in square kilometer ?

Solution : Here, we need to convert radius of sphere ( Moon ) in kilometer.

Now,

→ 1.737 * 10^( 8 ) cm

= { 1.737 * 10^( 8 ) } / { 10^( 5 ) } km

→ 1.737 * 10^( 8 ) cm

= 1.737 * 10^( 8 ) * 10^( - 5 ) km

→ 1.737 * 10^( 8 ) cm

= 1.737 * 10³ km

→ 1.737 * 10^( 8 ) cm

= 1737 km

Now, by formula of surface area of sphere,

→ surface area of sphere ( Moon )

= 4 * π * r²

{ where,

  • r = radius
  • π = 22/7 }

→ surface area of sphere ( Moon )

= 4 * 22/7 * ( 1737 )²

→ surface area of sphere ( Moon )

= 4 * 22/7 * 3017169

→ surface area of sphere ( Moon )

= 4 * 22 * 431024.1429

→ surface area of sphere ( Moon )

= 4 * 9482531.143

→ surface area of sphere ( Moon )

= 37930124.57 km²

→ surface area of sphere ( Moon )

= 37.93012457 * 10^( 6 ) km²

Answer : Hence, surface area of the Moon is 37.93012457 * 10^( 6 ) km².

Learn more :

18. The distance of the moon from the earth is 3.8 x 105 km. Calculate the speed of the moon revolving around the earth....

https://brainly.in/question/26966999

A person pushes a block of mass 0.25kg along a horizontal table with a force of magnitude 5N for a distance of 0.5m. The...

https://brainly.in/question/29782408

Similar questions