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Answer: A
Step-by-step explanation:
Answer:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd
Step-by-step explanation:
radius of sphere, rs
radius of cylinder, rc
height of cylinder, h
given: h = rs = rc =r..eq1
volume of cylinder, vc = 27pi ft...eq2
volume of cylinder, vc = pi × rc^2 × h...eq3
volume of sphere, vs = 4/3(pi×rs^3)...eq4
subst for h & rs from eqn 1 in eqn 3...
vc = pi x r^2 x r= pi x r^3...eqn 5
subst for vc from eqn 2 in eqn 5...
=> 27 pi ft = pi x r^3
=> 27 = r^3
=> r = 3ft...eqn 6
subst for rs from eqn 1 in eqn 4
vs = 4/3 (pi x r^3)...eqn7
subst for pi x r^3 from eqn 5 in eqn 7
vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft
Answer:
Step-by-step explanation:
Complement of the event
