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3 years ago

Find the best approximation of the volume of the sphere.

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer: 11,500 cm^3

Explanation:

The volume of a sphere with radius r is:

$V = \frac{4}{3}\pi r^3$

with r = 14 cm, the volume is:

$V = \frac{4}{3}\pi 14^3 = 11494.04 \,\,\mbox{cm}^3\approx 11500\,\,\mbox{cm}^3$

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Someone please help me

yuradex [85]

Answer:

112in²

Step-by-step explanation:

Formulas: V = $\frac{lwh}{3}$ , V = lwh

Sub: v = $\frac{4 x 4 x 6}{3}$

Solve: 32

Sub: v = 4 x 4 x 5

Solve: 80

V = 80 + 32

V = 112

<u>The total volume of the figure is 112in²</u>

3 0

3 years ago

What is the best approximation of 6% tax on a $102 purchase? A) $6 B) $12 C) $18 D) $24

larisa [96]

Here, On Approximation, Just consider $102 as $100

Then, 6% of 100 would be: $6

In short, Your Answer would be: Option A

Hope this helps!

6 0

3 years ago

At a grocery store, the price of a watermelon is determined by how many pounds the watermelon weighs. The price of a watermelon

Alexxx [7]

Answer:

$p=0.60w$

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

$p=kw$

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

$k=\frac{4.38}{7.3}=\$0.60\ per\ pound$

substitute in the equation

$p=0.60w$

7 0

4 years ago

Find the length of the segment with endpoints of (3,2) and (-3,-6).

MakcuM [25]

The formula of the length of the segment AB:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$
We have:
$A(3;\ 2)\to x_A=3;\ y_A=2\\\\B(-3;\ -6)\to x_B=-3;\ y_B=-6$
Substitute:
$|AB|=\sqrt{(-3-3)^2+(-6-2)^2}=\sqrt{(-6)^2+(-8)^2}\\\\=\sqrt{36+64}=\sqrt{100}=10$
Answer: B) 10.

5 0

4 years ago

Liz and Alana each participate in the home that jump at the track meet Liz’s high jump was 1 meter Alana’s high jump was 132 cen

brilliants [131]

1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32

7 0

3 years ago