Answer:
r ≈ 187. 70 miles
Step-by-step explanation:
The picture represent the question. XY is an arc and it is 78 miles . mXY = 70° . The length of the arc is known and the center angle is also known .We can use the formula for length of arc to get the radius of the circle.
length of arc = ∅/360 × 2πr
where
∅ = 70°
r = ?
length of the arc = 78 miles
78 = 70/360 × 2πr
78 = 140/360 × 3.14 × r
78 = 43.96/36 × r
78 = 14.96r/36
cross multiply
14.96r = 2808
r = 2808/14.96
r = 187.70053476
r ≈ 187. 70 miles
Answer:
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
If water weighs 62.4 pounds per cubic foot, it means
So, the total weight of the water is .