We appreciate your visit to A tank in the shape of a hemisphere has a radius of 15 feet If the liquid that fills the tank has a density of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
685,653 lb
Step-by-step explanation:
The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.
Hemisphere volume
The volume of a hemisphere with radius r is given by ...
V = (2π/3)r³
When the radius is 15 ft, the volume is ...
V = (2π/3)(15 ft)³ = 2250π ft³
Weight
The weight of the liquid in the tank is found using the density.
W = ρV
W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb
The total weight of the liquid in the tank is about 685,653 pounds.
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