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guajiro [1.7K]
3 years 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:
Nostrana [21]3 years ago
5 0

we know that

the surface area of the top of the water is calculated with the formula of the area of ​​a circle

A=\pi r^{2}

Step 1

Find the radius of the water tank in the middle of the tank

by proportion

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

so

For h=5 m

the radius is equal to r=1.5 m

Step 2

Find the surface area

A=\pi*1.5^{2}

A=7.07\ m^{2}

therefore

the answer is

the surface area of the top of the water is 7.07\ m^{2}

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