Answer:
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.