Square Roots Math - 8th Please Help :-D
2 answers:
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The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.
<h3>How to calculate the volume of a hemisphere?</h3>The volume of the hemisphere is calculated by using the formula,
= × π × r³ cubic units
where r is the radius of the hemisphere.
<h3>Calculation:</h3>It is given that,
A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.
So, the volume of the bowl is
V = × π × (1)³
= × π cubic feets
The volume of each smaller hemisphere-shaped mold = × π × r³ cubic units
So, for 27 molds, the volume = 27 × × π × r³ cubic units
All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.
Then,
× π = 27 ×
× π × r³
⇒ r³ = 1/27
⇒ r = 1/3 ft
Therefore, the required radius of each of the smaller molds is 1/3 foot.
Learn more about the volume of a hemisphere here:
#SPJ4
Answer:
d = 48t will represent the distance 'd' traveled in 't' hours.
Step-by-step explanation:
Jason leaves Detroit at 2:00 PM and passes through Ann Arbor at 2:50 PM which is 40 mi distant from Detroit.
Speed during this journey was constant.
Jason traveled 40 mi in 50 minutes or hours from Detroit to Ann Arbor.
By the formula,
Speed =
Speed =
= 48 mi per hour
If he travels 'd' miles in 't' hours then by the formula of speed,
48 =
d = 48t