Answer:
Approximately: 200.76π or 630.39
Step-by-step explanation:
Surface area for sphere formula: A = 4π(r^2)
36π = 4(r^2)
(36/4)π = [4(r^2)]/4
9π = r^2
28.26 = r^2 (since π equals 3.14)
√28.26 = √r^2
r ≈ 5.32
Volume for sphere formula: V = 4/3(π)(r^3)
V = 4/3(π)(5.32^3)
V ≈ 4/3(π)(150.57)
V ≈ 200.76π
or
V ≈ 630.39
STEP - BY - STEP EXPLANATION
What to find?
An expression for the total number of books.
Given:
Number of shelves = 5
Number of books in each shelf = k
If Lucy has a bookcase with 5 shelves and each of this
shelf has k books, then the total number of books can be determine by multiplying the numbers of book by the numbers of shelves.
That is;

ANSWER
5K
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:

Multiply through by 12


(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64
Answer:
A =5538.96 in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the radius is 42 and pi is approximated by 3.14
A = 3.14 * 42^2
A =5538.96 in^2