Answer:
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1 answer:
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Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:
Substituting figures, we have:
Let's make h subject of the formula.
The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
Volume of the rolling pin = 246.09
Step-by-step explanation:
Length of larger cylinder L = 12 in
Diameter of larger cylinder D = 5 in
Diameter of two handles = 1.5 in
Length of two handles = 3 in
Volume of the rolling pin = Volume of two handles + Volume of larger cylinder
Volume of two handles = 2 ()
Volume of two handles = 2 (3.14 × × 3 )
Volume of two handles = 10.59
Volume of larger cylinder = ()
Volume of larger cylinder = (3.14 × × 12 )
Volume of larger cylinder = 235.5
Volume of the rolling pin = 10.59 + 235.5
Volume of the rolling pin = 246.09
