The volume of a sphere is: 4/3 (pi) (radius cubed.) You would use that formula to solve for the volume.
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Answer:
(d) -√((2+√2)/(2-√2))
Step-by-step explanation:
5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

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<em>Additional comment</em>
This simplifies to -(1+√2). Your calculator can verify the choice for you.
Answer: first option 392.699 square feet.
Explanation:
1) The shape of the sidewalk is an ring with exterior radius equal to the radious of the fountain + 5 feet and inner radius equal to the radius of the fountain.
2) The area of such ring is equal to the area of the outer circle less the area of the inner circle (the fountain)
Area of a circle = π × r²
Area of the outer circle: π (10ft + 5 ft)² = π (15 ft)² = 225 π ft²
Area of the inner circle = π (10ft)² = 100 π ft²
Area of the ring (sidewald) = 225π ft² - 100π ft² = 125π ft² = 392.699 ft²
Answer:
Step-by-step explanation:
Take the pre-sale price.
Divide the original price by 100 and multiply it by 30.
Take this new number away from the original one.
The new number is your discounted value.
Amount Daisy plans to spend on food is $625
Step-by-step explanation:
- Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room
Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750
- Step 2: Calculate the remaining amount.
Remaining amount = $5000 - $3750 = $1250
- Step 3: Calculate the amount Daisy plans to spend on food
Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625