Answer:
Volume of the cone is 1883.7 cm³
Step-by-step explanation:
The circumference of the full circle with radius 18 cm :
360 := 2*π*18 = 36π cm
125 := 125/360 * 36π
The new circumference is maller:
36π - 125/360 * 36π
36π * 0.652(7)
Calculate the new r based on the new circomference:
2*π * r = 36π * 0.652(7)
r = 36π/2π * 0.652(7)
r = 18 * 0.652(7)
r = 11.75 cm
Based on this radius you can calculate the area of the base of the cone.
area base = π*(11.75)²
The Volume V of this cone = 1/3 π r² * h
You can calculate the height h by using Pythagoras theorum.
The sector is the hypothenusa= 18 cm
The h is the height, which is the "unknown"
The r is the new radius = 11.75 cm
s² = r² + h²
h² = s² - r²
h = √(s² - r²)
h = √(18² - 11.75²)
h = 13.6358901432946 cm
h = 13.636 cm
V cone
V = 1/3 π 11.75² * h
V = 1/3 π 11.75² * √(18² - 11.75²)
V = 1/3 π 11.75² * 13.636
V = 1883.7 cm³
Prrime factors of 2015 are the number that mltiply to get it exg
prime factors of 100 are 2,2,5,5 becase if you multiply them together you get 100
so prime factors of 2015=5,13,31
then the sum is add ing them togherther
5+13+31=49
a
answer is 49
Answer:
<h2>Width of the rectangle is 2</h2>
Step-by-step explanation:
A rectangle can is made up of two right angled triangle as shown.
Since area of a rectangle =
Area of one of the triangle =
The length and width of the triangle will be the same as that of the rectangle i.e 5units long and 2units wide
Area of one of the triangle =
Area of one of the triangle = 5units²
The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.
Answer:
I believe it is c
Step-by-step explanation:
The metrical pattern of a trochee is said to have a "falling rhythm" because the emphasis comes at the beginning of the foot: "da-dum da-dum." This falling rhythm is the exact opposite of the iambic "rising rhythm" that is more common in both poetry and speech, so the cadence of trochaic meter tends to sound a little unnatural to the ear. While for this reason trochees are relatively rare in most poetry, the "downward" motion and "backward" orientation of trochees actually makes them a popular foot for writing about dark subjects like madness and death.