*Please Help!* What is the volume of water, to the nearest tenth of a cubic metre, that would fill this spa tub?

First cylinder= 0.75m diameter, 0.80m height

Cylinder Underneath= 1.25m diameter, 0.70m height

Semi Sphere that holds both cylinders= 3m long

The volume of water that will fill the spa tub is 5.9 cubic meters.

Step-by-step explanation:

Volume of water that would fill the spa tub = volume of semi sphere - (volume of the first cylinder + volume of the second cylinder)

i. volume of first cylinder = h

where r is the radius and h is the height of the cylinder.

r = =

 = 0.375 m

h = 0.80 m

volume of the first cylinder = x x 0.8

                                        = 0.3536 cubic meters

ii. volume of the cylinder underneath = h

r = =

 = 0.625

h = 0.70 m

volume of the cylinder underneath = x x 0.7

                                                      = 0.8594 cubic meters

iii. volume of the semi sphere =

where r is the radius = 1.5 m

volume of the semi sphere = x x

                                             = 7.0714 cubic meters

Thus,

volume of the water to fill the spa tub = 7.0714 - (0.3536 + 0.8594)

                                                     = 5.8584

The volume of water that will fill the spa tub is 5.9 cubic meters.