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the radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. the thickness of the rind is always one tenth of the radius. the volume of the rind is growing at the rate cubic centimeters per week at the end of the fifth week. assume that the radius is initially zero.

Sagot :

The volume of a sphere is V = 4/3 x pi x r^3 .

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

learn more about unitary method click here:

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