1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
3 years ago
10

Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm.

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

Answer is 791.28 cm^{3}

Step-by-step explanation:

First we need to calculate the volume of each balloons by using the formula

volume of sphere with radius r is

V = 4/3 π r^{3}

Balloon 1.

r1 = 3 cm

V1 = 4/3 × 3.14 × 3^{3}

V1 = 113.04 cm^{3}

Balloon 2.

r2 = 6 cm

V2 = 4/3 × 3.14 × 6^{3}

V2 = 904.32 cm^{3}

Therefore we subtract small volume of balloon from large volume of balloon

= V2 - V1

= 904.32 cm^{3} - 113.04 cm^{3}

= 904.32 - 113.04 = 791.28 cm^{3}

Minchanka [31]3 years ago
5 0
<span>all you do to calculate the volume is 4/3*3.14*r^3</span>
You might be interested in
Which equation are true for x=-2 and x=2 check all that apply
ki77a [65]
1 it is true
{x}^{2} - 4 = 0 \\ {x}^{2} = + 4 \\ x = \sqrt{4} = 2
2 it's not true
{x}^{2} = - 4
3 it's not true
3 {x}^{2} + 12 = 0 \\ 3 {x}^{2} = - 12 \\ {x}^{2} = \frac{ - 12}{3} = - 4 \\
4 it's true
4 {x}^{2} = 16 \\ {x}^{2} = \frac{16}{4} = 4 \\ x = \sqrt{4} = 2
5- it's true
{2(x - 2)}^{2} = 0 \\ {(x - 2)}^{2} = 0 \\ x - 2 = 0 \\ x = 2
4 0
4 years ago
Read 2 more answers
Please help. Easy graph question.
Dmitrij [34]

Answer:B

Step-by-step explanation:

6 0
3 years ago
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
lubasha [3.4K]

First find a parameterization for the curve of intersection.

Given the equation of a cylinder, a natural choice for a parameterization would be one utilizing cylindrical coordinates. Here,

16x^2+y^2=16\implies x^2+\left(\dfrac y4\right)^2=1

which suggests we could use

\begin{cases}x(t)=\cos t\\y(t)=4\sin t\\z(t)\end{cases}

with 0\le t\le2\pi, and we get z(t) from the equation of the plane,

x+y+z=12\implies z(t)=12-x(t)-y(t)=12-\cos t-4\sin t

Now use the arc length formula:

\displaystyle\ell=\int_0^{2\pi}\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dz}{\mathrm dt}\right)^2}\,\mathrm dt

\displaystyle\ell=\int_0^{2\pi}\sqrt{\sin^2t+16\cos^2t+(\sin t-4\cos t)^2}\,\mathrm dt

\displaystyle\ell=\sqrt2\int_0^{2\pi}\sqrt{\sin^2t-4\cos t\sin t+16\cos^2t}\,\mathrm dt\approx\boxed{24.0878}

4 0
4 years ago
What is the volume of the triangular prism shown below ?
jekas [21]

Answer:

B

Step-by-step explanation:

The volume (V) of a triangular prism is

V = area of triangular end × length

area of Δ = \frac{1}{2} bh

where b is the base and h the perpendicular height

here b = 8 and h = 5, so

area = 0.5 × 8 × 5 = 20 units²

the length of the prism is 10, hence

V = 20 × 10 = 200 units³

7 0
3 years ago
Read 2 more answers
What is 6 to the second power divided by 2 (3) plus 4
nikdorinn [45]
The answer is 10.


6^2/2(3)+4 is the formula

6^2=36
36/2(3)+4
2(3)=6
36/6+4
36/6
6+4
10

I did PEMDAS. P is  for Parentheses. E is for exponents. M is for multiplication. D is for Division. A is for adding. S is for subtracting.




3 0
3 years ago
Read 2 more answers
Other questions:
  • George is 4 times Dorothy's age. If George is 56, how old is Dorothy?
    15·2 answers
  • Use the graph of f(x) = |(x^2 − 4)(x^2 + 2)| to find how many numbers in the interval [0, 1] satisfy the conclusion of the Mean
    14·1 answer
  • Is 2 PLUS 2 the same answer as 2 TIMES 2? If so, how and why?
    11·2 answers
  • -4(r+2)=4(2-4r)<br><br>solve for r and show work please
    14·1 answer
  • the ratio of girls to boys in lizas classroom is 5 to 4.How many girls are in her classroomif there is a total of 27 students
    5·1 answer
  • Calculus please help me
    13·1 answer
  • When is it is used to find the percent of a number using a fraction
    6·1 answer
  • Find the square (5p-9)(5p-9)
    9·1 answer
  • {17}{15}={10}{2x-2} x =
    11·2 answers
  • Can somebody help for brainliet
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!