Answer:
1055.04 cm³
Step-by-step explanation:
Given that,
Height of a cylinder, h = 16 cm
Radius of the cylinder, r = 5 cm
The height of a cone, h' = 12 cm
The radius of a cone, r' = 4 cm
The volume of the cylinder will be :

The volume of a cone is given by :

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³
Hence, the required answer is equal to 1055.04 cm³.
Using it's concept, it is found that the probability of a person being over 20 years old and preferring strawberry ice cream is of 12%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes.</u>
In this problem, there are 8 + 10 + 6 + 8 + 6 + 12 = 50 people, and of those, 6 are over 20 years old and prefer strawberry ice cream, hence the probability is given by:
p = 6/50 = 0.12 = 12%.
More can be learned about probabilities at brainly.com/question/14398287
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Prime cost is the combination of a manufactured product's costs of direct materials and direct labor. In other words, prime cost refers to the direct production costs.
Prime cost=direct material cost+direct labor cost
Direct material cost of a tabletop is
380×(1÷4)=95 for each tabletop
Direct labor cost
The question says The machinist cuts and polishes five tabletops each hour
Which means 27.50 of direct labor to cut and polish 5 tabletops So direct labor cost for each tabletop is
27.50÷5=5.5
Finally the prime cost of cutting and polishing a tabletop is
Prime cost=95+5.5=100.5
Answer:
x = 3
Step-by-step explanation:
Given
- 3x + 2 = - 7 ( subtract 2 from both sides )
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Answer:
LCM of 3, 5, and 6 is the smallest number among all common multiples of 3, 5, and 6. The first few multiples of 3, 5, and 6 are (3, 6, 9, 12, 15 . . .), (5, 10, 15, 20, 25 . . .), and (6, 12, 18, 24, 30 . . .) respectively. There are 3 commonly used methods to find LCM of 3, 5, 6 - by division method, by prime factorization, and by listing multiples.
Step-by-step explanation: