A cone that has volume 1026.25mm^3 and height 20mm. Find the radius of the cone

r = 7 mm

Step-by-step explanation:

given:

A cone that has volume 1026.25mm^3 and height 20mm.

Find:

the radius of the cone

solution:

volume of a cone = 1/3 π r² h

where

vol = 1026.25 mm³

h = 20 mm

plugin values into the formula:

vol. = 1/3 π r² h

1026.25 = 1/3 π r² (20)

r² =    1026.25  

        1/3 π  (20)

r =

r = 7 mm

therefore,

the radius of the cone = 7 mm

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.