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
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
- h = height = 24 cm
- r = radius = 5 cm
- π = pi ≈ 3.14
π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
Answer: x = 3
Step-by-step explanation:
Note that this triangle has 3 congruent angles. Therefore, it is an equilateral triangle. So, the sides will also be congruent.
So it can be said that : 6x - 3 = 3x + 6
+3
6x = 3x +9
-3x
3x = 9
/3
x = 3
By replacing x with 3, we can prove that these expressions all equal 15.
6(3) -3 = 18 - 3 = 15 . 3(3) + 6 = 9 + 6 = 15 . 5(3) = 15
