Answer:
49 years old.
Step-by-step explanation:
By proportion 7/6 = M/42 where M is Michael's age.
6M = 7 * 42
M = (7*42) / 6
M = 7 *7
= 49.
Formula for calculating volume of a cone is:
V = B*H/3
Formula for calculating volume of cylinder is:
V2 = B2*H2
because our cone fits exactly inside cylinder that means that their bases are the same and heights are the same. From this we can conclude (observing formulas for each volume) that cone has 3x less volume than our cylinder.
Cylinder volume is 6*3 = 18 in^3
Answer:
Step-by-step explanation:
Notice how each congruent square is divided into four equal parts. Since each square has four parts and there are four squares, there are 
of these parts in total. Because each of these parts make up 
of each square, all parts are equal. Therefore, you can count the total number of shaded parts to get your percentage.
The top left and bottom right both have one part shaded each for a total of 
parts.
The top right and bottom left have 
and 
parts shaded, respectively, for a total of parts.
Therefore, in total, there are 
parts shaded out of total parts.
Thus, the percentage of the total area that is shaded is:
.
