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2 years ago

A community center has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool?

Mathematics

1 answer:

olasank [31]2 years ago

6 0

The total volume of the pool is 1040 cubic ft. The correct answer is option B.

The complete question is given below:-

The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool

1200

1040

640

880

<h3>What is volume?</h3>

Volume is defined as the space covered by any solid body in the three-dimensional plane.

We know that the total volume of the pool is the sum of the volume of two rectangular prisms.

One is a rectangular prism with dimensions 20ft.×10ft.×4ft.

and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.

Hence, the volume of a first rectangular prism is:

20×10×4=800 cubic ft.

The volume of a second rectangular prism is:

6×4×10=240 cubic ft.

Hence, the total volume of the pool is:

800+240=1040 cubic ft.

Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.

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In an August 2012 Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 536 said that they were dissatisfied w

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Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.

Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

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x²+y²+z²−8x+4y=−4

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(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

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3 years ago