The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold

Mathematics

1 answer:

Ilya [14]3 years ago

5 0

Answer:

2.36 inches

Step-by-step explanation:

V = 4.18879r³

to determine the value of r, make r the subject of the formula in the above equation

∛(V/4.18879) = R

∛(55/4.18879) = r

r = ∛13.130283

r = 2.36 inches

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

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vladimir2022 [97]

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4 years ago

A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence

REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

$A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}$

For second square:

Let y be the side of second square

$A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}$