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
IrinaK [193]
3 years ago
13

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.

Mathematics
2 answers:
sineoko [7]3 years ago
3 0
We know that
[Volume of a cone]=pi*r²*h/3
and
[Volume of a half-sphere]=(4/6)*pi*r³
then
h=14 in
r=9 in
[Volume of a cone]=pi*r²*h/3-------------> pi*9²*14/3------------> 1186.92 in³
[Volume of a half-sphere]=(4/6)*pi*r³--------->(4/6)*pi*9³------> 1526.04 in³

the volume of the prop=1186.92+1526.04--------> 2712.96 -----------> 2713 in³

the answer is 2713 in³
maks197457 [2]3 years ago
3 0

I have the same problem but with 14 being 15 in and 9 being 7 in, can someone help?

You might be interested in
Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simu
solmaris [256]

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

8 0
4 years ago
Need help please it’s due today show work
Diano4ka-milaya [45]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
If a positive number a is 150 percent of 4p, and if p is
Andrej [43]
Sorry but this isnt even a full question.......
7 0
3 years ago
What’s a good definition of a central angle using inscribed angle in it?
Ganezh [65]
In summary, the central angle in a circle is the angle formed by two radius lines. An inscribed angle is the angle formed by points on the circle's circumference. There are a few key things to know about central and inscribed angles.
8 0
3 years ago
Other questions:
  • I NEED HELP ASAP PLEASEE
    15·1 answer
  • Graph the linear equation by finding its intercepts.<br> 3x + 6y = 18
    14·2 answers
  • What is the value of x if 2x+5=10
    10·2 answers
  • What are the factor pairs of 46 and 76
    10·2 answers
  • Twenty-five sixth-grade students answered the question: "How many hours do you generally spend on homework each week?"
    10·1 answer
  • What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19
    10·2 answers
  • Health Maintenance Organizations: By choosing an HMO Plan, you’ll be paying for your coverage in advance, rather than paying for
    6·1 answer
  • Please help? This is due today lol
    9·1 answer
  • During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, spr
    13·1 answer
  • Express tan M as a fraction in simplest terms.<br> Help please
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!