Answer:
1) = 20510 ^3ft (volume of the quarter sphere.)
2) = 240406 ^3ft each or 240406. 25^3 ft, (480812.5 ^3 ft combined volume of half vertically cut cylinder tanks)
3) =2564.^3ft or 2563.69225^3ft (volume of smaller m/u tank)
4) The volume of the original main show tank is 87.5% of the mock-up of the tanks volume meaning difference in increase.
Step-by-step explanation:
1) 4/3 pi x r+r
= 1.333 x 3.14 x 70 x 70
= 4.18562 x 70 x 70 = 20509.538
2) We (x2) dimensions not radius to make 1 whole cylinder
r = 35 feet = stays same as radius can only be half of a joined circle,
then vertically cut
h = 125 x 2 = 250ft
Equation = for Area first
Pi x r ^2
= 3.14ft x 35r x 35r = Surface Area = 3846.5
Volume = Surface area x H
= 3846.5 x 125 = = 480812.5 combined.
= 480812.5 / 2 = each = 240406.25ft
3) 1/8 of 20509.538 = 2563.69225
4) 7/8 of 20509.538 =2563.69225 x 7 = 17945.84575
For the larger tank the increase is 17946 ft rounded up (0.165 value) of that of the smaller mock up tank. Therefore percentage 1/8 = 12.5% and 7/8 = 87.5%
We multiply by the increase 08.75 or multiple 2563.69225 x 7 to find answer of 17945.84575 this is labelled increase size difference. We then just add ^3(power)ft to show the volume in answer format.
