Answer:
The 99th tower contains 9900 blocks.
Step-by-step explanation:
From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:
n + n²
Now let us use the diagram to validate the idea.
Tower 1:
n = 1
Number of blocks = 1 + 1² = 2
Tower 2:
Number of blocks = 2 + 2² = 6
Tower 3:
Number of blocks = 3 + 3² = 12
Using same idea, we can obtain the number of blocks in the 99th tower as follow:
Tower 99:
n = 99
Number of blocks = 99 + 99² = 9900
Therefore, the 99th tower contains 9900 blocks.
Find the area of the top, which is a circle.
Area of a circle = pi x r^2
Area = 3.14 x 1.5^2 = 7.065
Now for the volume multiply the area of the top by the height:
7.065 x 12 = 84.78 cubic inches
Round to the nearest tenth: 84.8 cubic inches
Answer:
2 books
Step-by-step explanation:
10 + 5x = 16 + 2x
- 2x - 2x
10 + 3x = 16
-10 -10
3x = 6
/3 /3
<u>x = 2</u>
