Answer:
Step-by-step explanation: The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed (a cylinder and two cones). The silo is made up of a cylinder (with height 10 feet and base radius 5 feet) and two cones (each with height 5 ft and base radius 5 ft). The formulas given at the beginning of the SAT Math section:
Volume of a Cone:
Volume of a Cylinder:
can be used to determine the total volume of the silo. Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is given by
which is approximately equal to 1,047.2 cubic feet.
<u>The final answer is D.</u>
Answer:
The correct option is a=5, b = -4, c=7 ....
Step-by-step explanation:
The standard form is ax²+bx+c=0
where a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
The given expression is:
4x + 5x2 = 8x – 7
To make it a standard equation we will move all the values to the left hand side and 0 will be left at the right hand side.
4x+5x²-8x+7=0
Now solve the like terms and arrange the equation according to the standard form:
ax²+bx+c=0
5x² - 4x +7 =0
Here a = 5
b = -4
c= 7
Thus the correct option is a=5, b = -4, c=7 ....
The answer is 15 in³.
The volume of the cone is:
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:
<span>
</span>
We can include V₂ into V₁:
⇒
3 divided by 1 quarter is equal to 12 because
3 divided 1/4 is 12 . 1/4 is a quarter. so this is how you get your answer. 3 divide 1/4 = 3/1 multiply 4/1=12/1 =12
