Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
Sharing size:
radius 3r, height h. So
About how many times more popcorn does the sharing cone hold than the skinny cone?
The sharing cone holds about 9 times more popcorn than the skinny cone.
The value of 300 is divided into 120 and 180 in the ratio of 2:3.
<u>Step-by-step explanation</u>:
- The total value is 300.
- This total of 300 should be divide in the ratio of 2:3.
Let us assume that the common factor be x in the ratio.
- The value of the part A is 2x.
- The value of the part B is 3x.
It is known that, 2x + 3x = 300
⇒ 5x = 300
⇒ x = 300/5
⇒ x =60.
<u>To find the values of A and B :</u>
A= 2x
⇒ 2(60)
⇒ 120
B= 3x
⇒ 3(60)
⇒ 180
The value of 300 is divided into 120 and 180 in the ratio of 2:3.
Given
piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.
What is the area of a piece of plywood .
To proof
Here plywood shape in the form of rectangle.
Formula
Area of rectangle = Length×Breadth
As given in the question
Length =2 feet 8 inches
Breadth = 2 feet 4 inches
First convert feet into inches
1 feet = 12 inches
2 feet 8 inches = 2×12 + 8
= 32 inches
Also
2 feet 4 inches = 2×12 +4
= 28 inches
put is in the above formula
Area of plywood = 32 ×28
= 896 inches²
Therefore option (b) is correct
Hence proved
