A hemispherical tank with a radius of qm is filled from an inflow pipe at a rate of 3 m³/min (see figure). How fast is the water level rising when the water level is 7 m from the bottom of the tank? (Hint: The volume of a th² (3r-h) 3 cap of thickness h sliced from a sphere of radius r is (Type an exact answer, using as needed.) Differentiate both sides of the equation with respect to t. :( ? ) dh dt (Type an exact answer, using as needed.) :-) dV Inflow 3 m³/min Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h. 7 9 m When the water level is 5 m from the bottom of the tank, the water level is rising at a rate of about (Round to three decimal places as needed.) ?
A hemispherical tank with a radius of qm is filled from an inflow pipe at a rate of 3 m³/min (see figure). How fast is the water level rising when the water level is 7 m from the bottom of the tank? (Hint: The volume of a th² (3r-h) 3 cap of thickness h sliced from a sphere of radius r is (Type an exact answer, using as needed.) Differentiate both sides of the equation with respect to t. :( ? ) dh dt (Type an exact answer, using as needed.) :-) dV Inflow 3 m³/min Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h. 7 9 m When the water level is 5 m from the bottom of the tank, the water level is rising at a rate of about (Round to three decimal places as needed.) ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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numbers are 9m, 3m^3/min, and 7m from bottom of tank if picture is unclear. Thank you!!
only HANDWRITTEN answer needed ( NOT TYPED)
Transcribed Image Text:A hemispherical tank with a radius of 9m is filled from an inflow pipe at a
rate of 3 m³/min (see figure). How fast is the water level rising when the
water level is 7 m from the bottom of the tank? (Hint: The volume of a
th² (3r-h)
3
cap of thickness h sliced from a sphere of radius r is
(Type an exact answer, using as needed.)
Differentiate both sides of the equation with respect to t.
=( ? ) dh
dV
:-)
Let V be the volume of water in the tank and let h be the depth of the water. Write an equation that relates V and h.
7
dt
(Type an exact answer, using as needed.)
Inflow 3 m³/min
9 m
When the water level is 5 m from the bottom of the tank, the water level is rising at a rate of about
(Round to three decimal places as needed.)
?
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