Eliza’s parents are installing an above ground swimming pool in their backyard. The pool is a right circular cylinder with a dia
meter of 18 feet and a height of 7 feet.
Once her parents fill the pool, it will have a depth of 6 feet. What is the volume of water, to the nearest cubic foot, that will be in the pool once it is filled.
(The volume, V, of a right circular cylinder with radius r and height h is given by the formula)
F. 170
G. 1,527
H. 1,781
j. 2,375
K. 6,107
Once her parents fill the pool, it will have a depth of 6 feet. What is the volume of water, to the nearest cubic foot, that will be in the pool once it is filled.
(The volume, V, of a right circular cylinder with radius r and height h is given by the formula)
F. 170
G. 1,527
H. 1,781
j. 2,375
K. 6,107
1 answer:
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Answer:
Joint variation says that:
if and
then the equation is in the form of:
, where, k is the constant of variation.
As per the statement:
If x varies jointly as y and z
then by definition we have;
......[1]
Solve for k;
when x = 8 , y=4 and z=9
then
Substitute these in [1] we have;
⇒
Divide both sides by 36 we have;
Simplify:
⇒
to find z when x = 16 and y = 6
Substitute these value we have;
⇒
Multiply both sides by 9 we have;
Divide both sides by 12 we have;
12 = z
or
z = 12
Therefore, the value of z is, 12