Length of the aquarium is 35 yd
Step-by-step explanation:
Step 1: Volume of the aquarium = 210 yd³ given by Volume = length × width × height. Width = 3 yd and Height = 2 yd
Length = Volume/Width × Height
= 210/3 × 2 = 210/6
= 35 yd
Given:
In triangle
.
To find:
The measure of angle C.
Solution:
Law of Cosines:


Substituting the given values, we get




Taking cos inverse on both sides, we get


Therefore, the measure of angle C is 90 degrees.
10/12 + 1/2 : 16/12 : 1 and 4/12.
Answer:
24 π
Step-by-step explanation:
First step is to determine the radius of the base. We have the area, so we can easily determine the radius. The base is a circle, and the area of a circle is given by A = π * r² , so r² = A / π
r² = (36 π) / π = 36
So, r = 6
The lateral surface of a cylinder is given by the following:
L = 2* π * r * 2
Now that we have r, we can easily calculate it:
L = 2 * π * 6 * 2 = 24π, second choice listed