A local company makes cement posts in the shape of the following three-dimensional composite. The cone and cylinder both have th
e same radius, while the height of the cylinder is 3 times the height of the cone. Which equation can be used to find the total volume of the cement post?
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On 12th day Rosita will walk all three dogs
<em><u>Solution:</u></em>
Given that Rosita earns money by walking dogs after school and on weekends
She walks Madeline every other day,buddy every fourth day,and ernie every third day
Today she walked all three dogs
<em><u>To find: the day when she walked all three dogs</u></em>
From given question,
Madeline is walked every other day means every two days: 2
Buddy is walked every fourth day: 4
Ernie is walked every third day: 3
To find the day when she walked all three dogs, we have to find the least common multiple (LCM) of 2, 4, 3
<em><u>L.C.M of 2, 4, 3:</u></em>
List all prime factors for each number
Prime Factorization of 2 shows:
2 is prime =>
Prime Factorization of 3 shows:
3 is prime =>
Prime Factorization of 4 is:
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 = 12
Thus on 12th day Rosita will walk all three dogs