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3 years ago

Find dimensions of the rectangular box of maximum volume that can be inscribed in a sphere of radius a?

1 answer:

4 0

This is an optimization calculus problem where you would need to know a little bit more about the box, atleast i would think. You would just need to use the volume equation of a sphere as the restrictive equation in the optimization problem. Perhaps there is a way to solve with the given information, but i do not know how to.

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How can you show that two objects are proportional with an equation

V125BC [204]

You can use a plot diagram to plot the points and if they all go straight through the origin then it is proportional :)

5 0

3 years ago

John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide. How much cubic feet of dirt

ivann1987 [24]

Answer:

John need to remove 4760 cubic feet of dirt.

Step-by-step explanation:

Given:

John is digging a hole for a swimming pool,the hole will be 28 feet long, 5 feet wide, 34 feet wide.

Now, to find the cubic feet of dirt John need to remove.

Length = 28 feet.

Width = 5 feet.

Height = 34 feet.

As the swimming pool is in the shape of a rectangular prism.

So, we put formula of volume to get the cubic feet of dirt need to remove:

$Volume = length\times width\times height$

$Volume=28\times 5\times 34$

$Volume=4760\ cubic\ feet.$

Therefore, John need to remove 4760 cubic feet of dirt.

6 0

2 years ago

Find the circumference of a circle if the area is 300 square centimeters.

mr Goodwill [35]

So the formula for a circle is Pie * r^2

If you divide 300 by pie and then Square root it you would get your radius

And once you have the radius you would use the equation of 2pie * r to find the circumfrence.

Answer is 61.38

Hope this helps!

4 0

2 years ago

Read 2 more answers

Write two equivalent expressions that represent the rectangular array below.

Ainat [17]

Area formula for rectangles: L x W

Answer: 3 x 2a + 3 x 5 = 3 x 2a x 5

You know that the expressions are equivalent, because when you solve for a you get a = 5/8 or 0.625

3 0

2 years ago

Help me please. Thankyou :)

ivolga24 [154]

Answer:

77 Sq m

Step-by-step explanation:

Area of the shaded shape = Area of the rectangle with dimensions 14 m by 8m - Area of rectangle with dimensions ( 14 - 5 - 2=7) 7m by 5m.

= 14*8 - 7*5

= 112 - 35

= 77 Sq m

7 0

2 years ago

Read 2 more answers