Answer:
6in
Step-by-step explanation:
The volume of a spherical balloon is 4/3 π R^3.
So 288π = 4/3 π R^3
The factors of π cancel out. Divide both sides by 4/3 to get:
216 cubic inches = R^3
Take the cube root of both sides, and you find that R = 6 inches
The arc length can be found using the formula, ∅ × r, which is: (5π)/3.
<h3>What is the Arc Length?</h3>
Arc length = ∅ × r, where ∅ is the central angle in radians, and r is the radius of the circle.
Given the following:
- ∅ = 60° = 60° × π/180 (in radians)
- r = 5 cm
Length of the arc = 60° × π/180 × 5 = (60 × π × 5)/180
Length of the arc = (300π)/180 = (5π)/3
Learn more about arc length on:
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Look at the picture.
measure of ∠2 is equal 30°
Answer:
∠ ACB = 128° and ∠ABC = 32°
Step-by-step explanation:
∠ ADC = ∠ CAD (base angles theorem)
∠ ACD = 82° (angles in a triangle add to 180°)
∠ ACB = 128° (angles around a point add to 360°)
∠ ABC = 32° (angles in a triangle add to 180°)
Answer:
6.57 x 10 to the power of 5
Step-by-step explanation: