Answer:
87.92 mm³
Step-by-step explanation:
The area of the base of the cylinder and cones is the same for all, the area of a circle of radius 2 mm:
B = π·r² = 3.14·(2 mm)² = 12.56 mm²
If we call the heights of the lower cone, cylinder, and upper cone h1, h2, and h3, respectively, then the total volume is ...
V = (1/3)Bh1 + Bh2 + (1/3)Bh3
Here is is convenient to factor out B and also 1/3, so we have ...
V = B(h2 + (1/3)(h1 +h3))
V = (12.56 cm²)·((5 +(2+4)/3) cm) = 7·12.56 cm³
V = 87.92 cm³
Using the velocity formula, it is found that the acceleration is of a = 9.8 m/s².
<h3>What is the velocity formula?</h3>
It is given by the initial velocity plus acceleration multiplied by time, that is:
v(t) = v0 + at.
In this problem, we have that v(0) = 0, t = 2, v(2) = 19.6, hence:
v(t) = v0 + at.
19.6 = 0 + 2a.
2a = 19.6.
a = 19.6/2.
a = 9.8 m/s².
The acceleration is of a = 9.8 m/s².
More can be learned about the velocity formula at brainly.com/question/26408808
Answer:
She needs to buy more chocolate chips≥
Step-by-step explanation:
9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
