Answer:
a. 5.25cm
b. 374.6 cm^2
Step-by-step explanation:
The radius of the conical cup is half the length of the arc formed
Mathematically, the length of the arc would be;
L = theta/360 * 2 * pi * r
L = 135/360 * 2 * 22/7 * 14 = 33 cm
Now, the arc of this sector will become the base circumference of the circular base of the cone
Thus;
2 * pi * R = 33
2 * 22/7 * R = 33
R = (7 * 33)/44 = 5.25 cm
b. The volume of the cone
Kindly note that the radius of the circle becomes the height of the cone
Mathematically;
V = 1/3 * pi * r^2 * h
Kindly note that the radius of the circle will become the slang height of the cone
We can use pythagoras’ theorem to find the height of the cone
Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
So here, slant height l is the hypotenuse, h and r are the other two sides
So 14^2 -5.25^2 = h^2
h^2 = 168.4375
h = 12.98 cm
Volume is thus ;
1/3 * pi * 5.25^2 * 12.98 = 374.6 cm^3
They are both (kilograms and centigrams) weights with the same dimension (mass), so they can be converted from one to the other.
<span>1 kilogram (kg) = 1000 grams and 1 gram (g) = 100 centigrams (cg)
So, </span><span>4.3 kg = 4.3 x 1000 = 4300 g = 4300 x 100 = 430000 = 43 x 10^4 cg.
So, the final answer is --> 430000 centigrams or 43 x 10^4 cg.
</span>
Answer:
DE, BA
Step-by-step explanation:
These two pair of angles meet at the point G, they touch, therefore adjacent
Answer:
(2,-1)
Step-by-step explanation:
Answer: The fraction would be 0.53.
Step-by-step explanation:
Since we have given that
where, A is the constant initial production rate
t is the time.
For 98 years, the production rate in motorcycles per year would be
For 13 years, the production rate in motorcycles per year would be
So, the fraction of their total production was built during the last 13 years would be
Hence, the fraction would be 0.53.
