Answer:
37.699 cm³
Step-by-step explanation:
Sa of cone:
pi×r×l + pi×r²
(3pi × l) + (pi × 3²) = 24pi
3l + 9 = 24
3l = 15
l = 5 (slant height)
Height: h
h² + r² = l²
h² + 3² = 5²
h² = 16
h = 4 cm
Volume = ⅓ × pi × r² × h
= ⅓ × pi × 3² × 4
= 12pi cm³
= 37.69911184 cm³
Okay,to that,
It is #1: 0.348348348348348348348........
IF you look at #1, you can tell that the line on the number after 0., means that it goes forever.
Answer:
Step-by-step explanation:
Given:
Now, from the figure shown below,
The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.
Here, point 'f' is the vertex and the sides are 'ef and 'fg'.
Therefore,
Plug in their values and solve for 'x'. This gives,
Therefore, the angle measure of each are:
Answer:
6.2 approx i believe
Step-by-step explanation:
Answer:
The length of the rectangle is 6cm while the width is 9cm
Step-by-step explanation:
Here, we are interested in calculating the length and width of the rectangle.
Let the length of the rectangle be x cm
We are told that the length is 3 cm
less than the width, this means that the width is (x + 3) cm
The area of the rectangle is 54cm^2
Mathematically;
Area of rectangle = L * B
Thus;
x(x + 3) = 54
x^2 + 3x = 54
x^2 + 3x -54 = 0
x^2 + 9x -6x -54 = 0
x(x + 9 ) -6(x + 9) = 0
(x -6)(x + 9) = 0
x -6 = 0 or x+ 9 = 0
x = 6 or -9
Since length cannot be negative we choose x = 6cm
But width = x + 3 = 6 + 3 = 9cm
