All categories

3 years ago

When filled, a particular round balloon has a diameter of 14 inches (in.).

Mathematics

1 answer:

icang [17]3 years ago

4 0

Answer:

1436.76 in.^3

Step-by-step explanation:

This question means to find the volume of a sphere with a diameter of 14 inches. The formula for the volume of a sphere is 4/3πr^3, so we need to find the radius, which is half the diameter. Half of the diameter is 7 inches, so now we can plug in our values to find the volume is about 1436.76 cubic inches.

You might be interested in

S=πrl+πr2 solve for l.

kipiarov [429]

Answer:

Step-by-step explanation:

s = πrl + πr²

First move πr² to the left side of the equation

We have

πrl = s - πr²

Divide both sides by πr to make l stand alone

That's

We have the final answer as

Hope this helps you

5 0

3 years ago

What is the slope-intercept form of the function that contains the point (8, 12) and has a slope of _2?

Crank

The function has a slope : m = - 2 and contains the point ( 8, 12 ).
y = m x + b
12 = ( - 2 ) * 8 + b
12 = - 16 + b
b = 12 + 16
b = 28
The slope-intercept form of the function is:
y = - 2 x + 28

3 0

3 years ago

Read 2 more answers

Its my birthday today= Free points!

xz_007 [3.2K]

Answer:

happy birthday

Step-by-step explanation:

thank you

7 0

3 years ago

Read 2 more answers

Tomato paste is sold in a cylindrical can. The can has a radius of 1.5 inches and a height of 4.8 inches. What is the volume of

Furkat [3]

Answer:

33.912 in

Step-by-step explanation:

find the area of the circle first by: multiplying 1.5squared X 3.14= 7.065

the multiply it by the height (4.8) = 33.912

7 0

3 years ago

Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

3 years ago