This "hourglass" consists of two identical solid cones contained in a right cylinder. The cylinder is 12 cm tall and the circumf
1 answer:
Volume is a three-dimensional scalar quantity. The volume of the space between the cylinder and the two cones is 1184.43183 cm³.
<h3>What is volume?</h3>A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the circumference of the base is 61 cm, therefore, the radius of the base will be,
Circumference = 61 cm
2πR = 61
R = 61/(2π) = 9.70845 cm
The volume of the cylinder(Outside shell) can be written as,
Volume = πR²×H
= π× (9.70845)² ×12
= 3553.29326 cm³
The volume of the two identical cones will be,
The volume of the cone = 2× (1/3) × π × R² × H
= (2/3)×π×(9.70845²)×12
= 2368.86143 cm³
The volume of the space between the cylinder and the two cones is,
The volume between space = 3553.29326 cm³ - 2368.86143 cm³
= 1184.43183 cm³
Hence, the volume of the space between the cylinder and the two cones is 1184.43183 cm³.
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Step-by-step explanation:
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A general form of a downward parabola is given as:
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h = 2 seconds, k = 13 feet.
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Answer:
Step-by-step explanation:
First we can determine the x value of our vertex via the equation:
Note that in general a quadratic equation is such that:
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Therefore we can determine the x component of the vertex by plugging in the values known and so:
Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:
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x=-3
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The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:
Range = All real numbers greater than or equal to 4.