Answer:
Step-by-step explanation:
cylinder's height=3×(diameter of sphere)=3×6=18 cm
radius of cylinder=3 cm
volume of cylinder=π r²h=π(3)²×18=162 π cm³
volume of sphere=4/3 π(3)³=36 π cm³
reqd. empty space=162 π-3×36π=54 πcm³
The whole school would have 170 students that have a dog
Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.
Answer: C) $462.96
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Answer: 56
Step-by-step explanation:
Given : Number of red marbles = 5
Number of green marbles = 3
Number of yellow marbles = 3
Number of orange marbles = 3
Number of red and green marbles = 5+3=8
Now the possible number of sets (combinations) of five marbles are there in which all of them red or green will be :-

Hence, the number of sets of five marbles in which all of them red or green=56