Let us begin by defining the formula for finding the volume of a prism.
The volume of a prism can be found using the formula below:
For the given prism, the base is a right-angled triangle. The dimensions of the prism are:
base height = 8 ft
height = 3ft
base length =6 ft
length of the hypothenuse = 10ft
Hence, the volume of the prism is:
Substituting the given dimensions:
Hence, the volume of the prism is 72 cubic feet
Answer: 72 cubic feet
Answer:
Z/ pi^3 = h
Step-by-step explanation:
Z= pi^3h
Divide each side by pi ^3
Z/ pi ^3= pi^3h/pi ^3
Z/ pi^3 = h
Integration will be ln | ( x /9 ) + ( ) | + c .
Given ∫ 1 dx / ( - 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
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Answer:
Step-by-step explanation: