Answer:
current volume of the water = 785.714 in²
Height of new container = 10 inches
Step-by-step explanation:
Radius of the container = 5 inches
Height of the container = 20 inches
Volume of the container = πR²H = (22/7) × 5² × 20 = 1571.428571428 in²
Since the container is half filled with water, volume of the water = 1571.428571428 ÷ 2 = 785.714 in²
b. Volume of cylinder = πR²H = volume of water from first container = 785.714 in²
Hence 785.714 = (22/7) × 5² × H
H = (785.714) ÷ [(22/7) × 25] = 10 inches
Height of new container = 10 inches
Answer:
21 square feet
Step-by-step explanation:
To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.
Version 1: 6 * 2 rectangle and 3 * 3 square
(6 * 2) + (3 * 3)
12 + 9
21 sq. ft.
Version 2: 5 * 3 rectangle + 2 * 3 rectangle
(5 * 3) + (2 * 3)
<em>You could really just do 7 * 3 here.</em>
7 * 3
21 sq. ft.
Either way, you still get 21 square feet as your answer.
He should use 886 fluid ounces of soap.
<u>Step-by-step explanation</u>:
Know that 8 fluid ounces make 1 cup.
Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.
Thus, by unitary method,
84 ounces of water need 32 × 84 / 3 ounces of soap.
Thus the answer comes to 886 ounces.
Answer:
units
Step-by-step explanation:
The distance formula is
where
is the distance between points
and
. Let
and
, thus:

Therefore, the distance between points P(5,1) and Q(3,4) is
units.
Answer:
1323 cubic inches
Step-by-step explanation:
Volume of rectangular prism is (8)(14)(9)=1008
Volume of rectangular prism is (1/2)(5)(14)(9)=315
So total volume is 1008 + 315 = 1323