Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
12x + 2 = 3x - 25. STEP 1) subtract 3x from 12x so it now is: 9x +2 = -25 STEP 2) subtract 2 from -25 so it now is: 9x = -27 STEP 3) divide each side by 9 so now it is: x = -3
Let, the number = x
So, x * 1/10 = 0.04
x = 0.04 * 10
x = 0.4
So, your final answer is 0.4
Hope this helps!
-1 > (x + 4) / 2....multiply both sides by 2, eliminating the 2 on the right
2 * -1 > x + 4
-2 > x + 4 ....subtract 4 from both sides
-2 - 4 > x
-6 > x or x < -6
graphed : open circle (because there is no equal sign)...on -6, shading to the left
9514 1404 393
Answer:
66 cm²
Step-by-step explanation:
The area of the polygon is the sum of the areas of the triangle and the rectangle it sits on. The dimensions of the triangle can be found by examining the top/bottom dimensions shown and the left/right dimensions shown.
The width (base) of the triangle is the difference between the lengths of the bottom and top horizontal lines: (12 -9) cm = 3 cm.
The height of the triangle is the difference between the lengths of the left and right sides of the figure: (9 -5) cm = 4 cm.
The dimensions of the rectangle are shown a the bottom and the left sides of the figure.
triangle area = 1/2bh = 1/2(3 cm)(4 cm) = 6 cm²
rectangle area = LW = (12 cm)(5 cm) = 60 cm²
Total polygon area = 6 cm² + 60 cm² = 66 cm²