Given:
Radius of the base of the cone = 12 in.
The slant height of the cone = 15 in.
To find:
The lateral surface area of the given cone.
Solution:
The lateral surface area of the cone is:

Where, r is the radius of the base of the cone and h is the slant height of the cone.
Putting
, we get


The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.
The area of a circle is represented by the equation:

We know that the diameter is two times the radius: 
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
-->
So then we can plug this radius in to the equation for the area of a circle:


We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:


Now we know that the area of this circle is 452.16 square meters.
Answer:
4 inches
Step-by-step explanation:
40/24=10/6
40/10=4
24/6=4
(40/24)/(4/4)=10/6
(10/6)(4/4)=10/24
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.
Answer:
do it yourself looser
Step-by-step explanation: