Answer:
Hey there!
Cone formula: hr^2/3
Plugging in the values, we get the volume is 301.59
Let me know if this helps :)
Answer:
96π
301.59
Step-by-step explanation:
The volume of a cone can be calculated using the following formula:
b is the base and h is the height. The base formula for a circle (area):
Insert this value into the formula:
Simplify the formula:
Now insert the known values:
Simplify:
The volume is 96π units³ or 301.59 units³.
:Done
A. 36
B. 27
C. 48
O D. 96
Answer:
96 is the 6th term of the geometric sequence
Step-by-step explanation:
The sequence is just adding the number twice to get the nect sequence.
So,
3+3 = 6
6+6 = 12
12+12 = 24
24+24 = 48
48+48 = 96 this is the 6th term
Hope this is helpful
b) (y-1)^2 = 20(x-3)
c) (y-1)^2 = -20(x-3)
d) (x-3)^2 = 20(y-1)
Answer with Step-by-step explanation:
We have to find:
the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = –2
General form of Parabola that opens left or right:
(y−k)²=4p(x−h)
Vertex =(h,k)
Directrix: x=h−p
Here, h=3,k=1 and h-p=-2 i.e. p=h+2=5
Hence, equation of parabola in this case equals
(y-1)²=4×5(x-3)
i.e. (y-1)²=20(x-3)
Hence, correct option is:
b) (y-1)²=20(x-3)
Answer:
Step-by-step explanation:
I can help
Step 1
√18 Simplify
3√2
Step 2
3√2 Check
Answer
3√2
Hope this helped
To simplify √18, we first find the prime factors of 18, then use those factors to rewrite √18 in a simplified form. For 18, which is 2 * 3^2, the square root simplifies to 3√2.
The goal here is to simplify √18. To begin, we find the prime factors of 18. The prime factors of 18 are 2 and 3. Hence 18 can be written as 2 * 3 * 3 or 2 * 32. We substitute this representation into our original expression, √18 becomes √(2 * 32). From our knowledge of square roots, we know that √(a2) can be simplified to 'a'. That is, the square root of the square of a number is the number itself. Hence, √(32) can be simplified to 3. So we have √(2 * 32) = √2 * 3 = 3√2. So, the simplification of √18 is 3√2.
#SPJ2
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
3 is the correct answer