Answer:
1649.33 units³
Step-by-step explanation:
Let the height and the radius be known as "h" and "r" respectively.
<u>Formulae(s):</u>
- Volume of cylinder: πr²h
- Volume of cone: πr²h/3
Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,
- ⇒ πr²h = 3(πr²h/3)
- ⇒ πr²h = πr²h (True)
<u>Determining the volume of the cylinder;</u>
- ⇒ Volume of cylinder = Volume of cone × 3
- ⇒ Volume of cylinder = 175π × 3
- ⇒ Volume of cylinder = 525π
- ⇒ Volume of cylinder = 1649.33 units³ (2 d.p)
Therefore, the volume of the cylinder is 1649.33 units³.
Answer:
463u
Step-by-step explanation:
to find surface area you multiply things like a*b a*c b*c, but you only need two in this case,you dont need 4.3*14, so it just 4.3*5 and 5*14, multiply those and add em
Answer:
No.
Step-by-step explanation:
2:1 and 19:10 are not equivalent.
Simply, because if you divide 9 by any number with the 10, it is not going to stay as a whole number. For example, 19 divided by 2 equals 9.5. 19 divided by 5 equals 3.8. So, no they are not equivalent.
Answer:
The lateral surface is 120
, which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120 
The table can be filled in as follows:

After 3 days, Kim's savings already exceeds Ben's, and is increasing at a faster rate. The appropriate descriptor is ...
... Kim will save more than Ben
_____
An exponential function increases faster than any polynomial function. (A linear function is a polynomial function.)
If Kim keeps up her savings for 28 days, her account balance will exceed the US Gross National Product of more than $20 trilliion. (Exponential functions tend to increase very rapidly!) Meanwhile, Ben's savings will be $89 on day 28.
_____
Please note the discrepancy in the problem statement. The verbiage says "days", but the table shows "years".