TSA of hemisphere is 7392cm2 then find LSA and volume of sphere
Answers
Answered by
0
the lateral surface area of the sphere is 9856 cm2. and volume is 91989.33 cm3
Answered by
1
TSA of hemisphere = 7392 cm^2
=> 3 pi r^2 = 7392
=> 3 × 22 × r^2 /7 = 7392
=> 66 × r^2 = 7392 × 7
=> r^2 = 7392 × 7 / 66
=> r^2 = 112 × 7
=> r^2 = 7 × 7 × 4 × 4
=> r = 7 × 4
=> Radius = 28 cm
LSA = 2 pi r^2
= 2 × 22 × 28 × 28 / 7
= 44 × 4 × 28
= 4928 cm^2
Volume = 4/3 pi r^3
= 4× 22 × 28 × 28 ×28 / 3 × 7
= 88 × 4 × 28 × 28 / 3
= 275968 / 3 cm^3
= 91989.3 cm^3
=> 3 pi r^2 = 7392
=> 3 × 22 × r^2 /7 = 7392
=> 66 × r^2 = 7392 × 7
=> r^2 = 7392 × 7 / 66
=> r^2 = 112 × 7
=> r^2 = 7 × 7 × 4 × 4
=> r = 7 × 4
=> Radius = 28 cm
LSA = 2 pi r^2
= 2 × 22 × 28 × 28 / 7
= 44 × 4 × 28
= 4928 cm^2
Volume = 4/3 pi r^3
= 4× 22 × 28 × 28 ×28 / 3 × 7
= 88 × 4 × 28 × 28 / 3
= 275968 / 3 cm^3
= 91989.3 cm^3
Similar questions