Answer:
404 cm³ Anyway... Look down here for my explanation.
Step-by-step explanation:
Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.
We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)
44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°
The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.
Shaded area 88.8/360*area of circle - ½*7*788.8°
= 88.8/360*π*7² - 24.5*sin 88.8°
13.5 cm²
(using area of ∆ = ½.a.b.sin C for the triangle)
Volume of water = cross-sectional area * length
13.5 * 30 cm³
404 cm³
Answer:
(a) 64 days
(b) 2 phones calls
Step-by-step explanation:
.3 + .06 + .008 = 0.386
Hope I Helped:P
Using x to represent our missing values and the fact that there are two missing values gives us x + x = 2x. Because it's the sum of these numbers and 0.34, we get the equation 2x + 0.34; now we set it equal to 2, 2x + 0.34 = 2.
To solve, 1st subtract 0.34 on both sides to get 2x = 1.66. Now divide by 2 on both sides to get x = 0.83.
So your decimals are 0.34, 0.83, and 0.83
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
