Dante bought a new graduated cylinder for his chemistry class. It holds 662.7 milliliters of liquid. If the cylinder has a radius of 4.7 cm, then how tall is the cylinder? (Note: 1 milliliter is equal to 1 cubic centimeter)
A.
141 cm
B.
19,881 cm
C.
30 cm
D.
70.5 cm

Given:

Dante bought a new graduated cylinder for his chemistry class.

Volume of the cylinder = 662.7π milliliters of liquid

Converting to cubic centimeter, we get;

Volume of the cylinder = 662.7π cm³

Radius of the cylinder = 4.7 cm

We need to determine the height of the cylinder.

Height of the cylinder:

The height of the cylinder can be determined using the formula,

Substituting the values, we have;

Dividing both sides by 22.09π, we get;

Therefore, the height of the cylinder is 30 cm.

Hence, Option C is the correct answer.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.