The answer is 15 in³.
The volume of the cone is:

where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:

where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:

<span>

</span>
We can include V₂ into V₁:

⇒


The concert director can choose the new members by holding try outs to take the the possible candidate’s skills, performance and professionalism into consideration to be a part of the large show. Another way is by voting amongst other people in their school to see who the audience would be excited to see preforming in the show.
Answer:
90 ft³
Step-by-step explanation:
Volume is calculated as length × width × height.
Heidi: 5×3×2 = 30 ft³
Andres: 5×6×2 = 60 ft³
Total: 30 + 60 = 90 ft³
Answer:
Step-by-step explanation:
Solution
Start with the product
The product is 7*x where x is a number but not specified.
Now add 6
Answer: 7x + 6
This cannot be simplified any more than what it is now.
Answer: The first number that appears in both sequences is 28.
Step-by-step explanation:
Let's write down numbers from each of the sequences
Sequence 1) We need to start from 7 and multiply 4
7x4=28, 28x4=112
The sequence is 7,28,112...
Sequence 2) We need to start from 8 and add 5
5+8=13, 13+5=18, 18+5=23, 23+5=28
The sequence is 8,13,18,23,28...
They both have 28