A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

where volume of the cylinder

volume of each cube

Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

where L = length of side of cube

Therefore, the volume of each cube is:

The volume of a cylinder is given as:

where r = radius

h = height of the cylinder

The volume of the cylinder is:

Therefore:

21823.55 = 27 * x

=> x = 21823.55 / 27

x = 808.27

Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.