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slega [8]
3 years ago
6

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters. Which expression gi

ves the volume of the sphere, in cubic centimeters?

Mathematics
2 answers:
goldenfox [79]3 years ago
8 0
Start with the volume equation for a sphere:

V=4/3pi•r^3

The dimensions of the cylinder allow for a sphere with a diameter of 20 centimeters, so the radius of this sphere will be 10 centimeters. Substituting this into the equation:

V=4/3pi•(10)^3

or the uppermost right answer (B).
ivann1987 [24]3 years ago
7 0

Answer:

the correct answer is 4/3pi times 10 to the third power

Step-by-step explanation:

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The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?
alexira [117]

Answer:

The Yates phone bill will be $2100 for a year.

Step-by-step explanation:

175x12=2100

4 0
3 years ago
Tell whether or not f(x)= π sin 3x -4π sin 2 x is a sinusoid.
gregori [183]
<h2>B. No</h2>

The given equation is not a sinusoid

4 0
3 years ago
What is the total amount in an account after 3 years if the interest is compounded annually on an amount of $3200 at 4%?
lorasvet [3.4K]

Answer:

$3599.57

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^t

where Accrued amount is to be determined

P = principal; $3200

r = 4% = 0.04

t = number of years = 3

Therefore

Accrued amount = 3200 (1 + 0.04)^3

= 3200 x 1.04^3

= 3200 x 1.1249

= 3599.57

The total amount after 3 years is $3599.57

8 0
2 years ago
Roshan makes the table below to describe how to draw a ray diagram for a convex lens.
VikaD [51]

Answer:

The ray that goes parallel to the main axis after passing through the lens should also be parallel from the object to the lens

Step-by-step explanation:

To form the image of an object using a convex lens, ray diagrams are used. The following steps are followed when drawing ray diagrams.

1) Light rays are drawn from the object incidented on the lens and parallel to the principal axis. The incident light refracts (bends) through the lens and converges at the focal point at the other side of the lens.

2) Another incident light passes through the optical centre undeflected and intersect with the refracted ray at the other side of the lens.

Based on the above points, Roshan made an error by drawing the ray that goes parallel to the main axis and after passing through the lens made the same ray to be parallel from the object to the lens instead of refracting (bending) after passing through the lens.

7 0
3 years ago
Read 2 more answers
Formula for the volume of a square pyramid, v=1/3lwh for w
tatuchka [14]

\dfrac{1}{3}lwh=V\qquad|\text{multiply both sides by 3}\\\\lwh=3V\qquad|\text{divide both sides by}\ lh\neq0\\\\\boxed{w=\dfrac{3V}{lh}}

3 0
3 years ago
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