Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
Answer:
k = 10.39
Step-by-step explanation:
tangent 30 = opposite side / adjacent side, opposite side = 9, adjacent side = k + 3sqrt3.
tan 30 = 9/(k + 3sqrt3)
0.5774 = 9/(k + 3sqrt3)
k + 3sqrt3 = 15.5885
k = 15.5885 - 3sqrt3
k = 10.392
Step-by-step explanation:
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Answer:
The students have eaten 72 ounces of fruit snacks.
X = 72 ounces
Step-by-step explanation:
There are total 20 packs of fruit snacks
The weight of each pack is 6 ounces.
Let us first find the total weight of the snacks.
Total weight = 6*20
Total weight = 120 ounces
Let X represents the ounces of fruit snacks that students have eaten.
Let Y represents the 48 ounces of fruit snacks left in the box
Total weight = X + Y
120 = X + 48
X = 120 - 48
X = 72 ounces
Therefore, the students have eaten 72 ounces of fruit snacks.
Answer:
Three times the sum of a number and 2.
Step-by-step explanation:
Sum of a number and 2 = x + 2
3 times = 3 multiplied
