It is given in the question that :
A crate of tennis balls measures 25 inches by 25 inches by 15 inches.
First we have to find the volume of the crate which is
And the given radius of tennis ball is 1.35 inches .
A tennis ball is in the shape of sphere. And volume of sphere is
Substituting the value of r, we will get
TO find the number of balls , we have to divide the volume of crate by volume of ball.
That is ,
Answer:
^3 everything in parantheses
Step-by-step explanation:
8a^3b^6
Answer D
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Answer:
B.) 54π units²
Step-by-step explanation:
First, we need to find the height of the cone. We can do this using the Pythagreom Theorem.
a² + b² = c² <----- Pythagreom Theorem
3² + b² = 15² <----- Insert side lengths
9 + b² = 225 <----- Solve 3² and 15²
b² = 216 <----- Subtract 9 from both sides
b = 14.7 units <---- Take square root of 216
Now, we can use the surface area of a right cone equation to find the final answer.
r = 3 units
h = 14.7 units
SA = πr(r + √(h² + r²)) <----- Surface Area equation
SA = π(3)(3 + √(14.7² + 3²)) <----- Insert values
SA = π(3)(3 + √(216 + 9)) <----- Solve 14.7² and 3²
SA = π(3)(3 + √225) <----- Add 216 and 9
SA = π(3)(3 + 15) <----- Take square root of 225
SA = π(3)(18) <----- Add 3 and 15
SA = 54π units² <----- Multiply 3 and 18
We know that
the length of a circumference=2*pi*r
for r=8 ft
the length of a circumference=2*pi*8---------> 16π ft
if 2π radians (full circle)-------------------> has a length of 16π ft
3π/4 radians-------------------------------> X
X=3π/4*16π/2π-------------> X=6π<span> ft
the answer is
6</span>π ft