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Lelu
1 month ago
7

A water tank has the shape of an inverted cone (like an ice cream cone without ice cream). the tank is 10m high and has a radius

of 3m at the top. if the water is 5m deep (in the middle), what is the surface area of the top of the water?
Health
1 answer:
liraira [1.3K]1 month ago
5 0

We can determine that

the area of the surface at the top of the water is derived using the formula for circular area

A=\pi r^{2}

Step 1

Identify the radius of the water tank at its center

using proportionality

\frac{10}{3} =\frac{5}{x} \\ \\ 10*x=5*3\\ \\ x=\frac{15}{10} \\ \\ x=1.5m

Thus,

for h = 5 m

the radius is found to be r = 1.5 m

Step 2

Calculate the surface area

A=\pi*1.5^{2}

A=7.07\ m^{2}

Therefore,

the surface area at the water's top is 7.07\ m^{2}

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