The answer is 12π.
To get the volume of the cone, we need the height. The radius is given.
V = πr² × (h/3)
The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height
24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5
Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4
Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π
Answer:
x must equal 0 or - 10
and y must equal 1 or 6
so its 3 x 0 = 0 plus 6 x 1 = 6
or 3 x -10 = -30 plus 6 x 6 = 36 so -30 plus 36 is 6
Step-by-step explanation:
Answer:
1 pound
Step-by-step explanation:
11/12 - 5/6
|
(11 × 6) - (5 × 12)
––––––––––––
12 × 6
|
= 6/72
|
6 ÷ 6
–––––
72 ÷ 6
|
= 1/12
We're going to estimate that the answer is 1 pound.
Answer:
4³ and 4 · 4 · 4
Step-by-step explanation:
4³ is the same as 4 · 4 · 4 (or 4 three times).
Answer:
X=40°
X=30°
X=50°
Step-by-step explanation:
Let our unknown angles be denoted by 
Part I
We are given the sum of the angles as 70°, the known as 30° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=70°-30°=40°
Hence X= 40°
Part II
We are given the sum of the angles as 70°, the known as 40° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=70°-40°=30°
Hence X= 30°
Part III
We are given the sum of the angles as 80°, the known as 30° and the unknown as X;
To find X, we subtract the known angle from the sum as:
X=80°-30°=50°
Hence X= 50°