Answer: (27- 4/3 pi) r^3
Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27
2. Volume of a sphere: V=4/3 pi r^3 ......
Answer:
The length of the circumference is
or 
Step-by-step explanation:
<u><em>The question in English is</em></u>
On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?
we know that
The circumference of a circle is given by the formula

we have

substitute

This is the exact value
assume


The perimeter is the sum of the enclosing side.
From the figure, the perimeter is
P = 11 + (x-2) + (11-3) + [(x-2) - (x-11)] + (x-11)
= 11 + x - 2 + 8 + 9 + x - 11
= 2x + 15
Answer: 2x + 15
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side KJ
In the right triangle JKM
Applying the Pythagoras Theorem

we have


substitute



simplify

step 2
Find the value of cosine of angle MJK in the right triangle JKM

substitute the values

simplify
-----> equation A
step 3
Find the value of cosine of angle MJK in the right triangle JKL

we have

----> remember equation A
substitute the values

Simplify

The question is incomplete. Here is the complete question:
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.95 probability that he will hit it. One day, Samir decides to attempt to hit 10 such targets in a row.
Assuming that Samir is equally likely to hit each of the 10 targets, what is the probability that he will miss at least one of them?
Answer:
40.13%
Step-by-step explanation:
Let 'A' be the event of not missing a target in 10 attempts.
Therefore, the complement of event 'A' is 
Now, Samir is equally likely to hit each of the 10 targets. Therefore, probability of hitting each target each time is same and equal to 0.95.
Now, 
We know that the sum of probability of an event and its complement is 1.
So, 
Therefore, the probability of missing a target at least once in 10 attempts is 40.13%.