(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
1. B
2. A
3. D
4. D
I'm not too sure about 1 but I'm sure about the others. Hope this helps!
Answer:
12
Step-by-step explanation:
First subtract 7 from 43, 55 and 67
43 - 7 = 36 ; 55 - 7 = 48 ; 67 - 7 = 60
Now find the GCF of 36 , 48 , 60
36 = 2 * 2 * 3 * 3
48 = 2 * 2 * *2*2 * 3
60 = 2 * 2 * 3 * 5
GCF = 2 * 2 * 3 = 12
The required number is 12
When you divide 43 by 12, the remainder is 7.
When you divide 55 by 12, the remainder is 7
When you divide 67 by 12, the remainder is 7
Option A:
V = 1/3 * b^2 * h
V = 1/3 * 10.5^2 * 6
V = 1/3 * 110.25 * 6
V = 220.5
Option B:
V = 1/3 * b^2 * h
V = 1/3 * 3.6^2 * 8
V = 1/3 * 12.96 * 8
V = 34.56
Option C:
V = 1/3 * b^2 * h
V = 1/3 * 4.2^2 * 12
V = 1/3 * 17.64 * 12
V = 70.56
Option D:
V = 1/3 * b^2 * h
V = 1/3 * 6^2 * 8.4
V = 1/3 * 36 * 8.4
V = 100.8
I guess it's 'None of the Above'
Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C = 
°
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
