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

Question

3 months ago

7

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?

1 answer:

liraira [1.4K] · Answer 1 · 2026-02-23T00:37:28+03:00

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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