A rectangle on a coordinate plane has vertices Q(Negative 1, 1), R(6, 1), S(6, Negative 8), and T(Negative 1, Negative 8). What
1 answer:
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Answer:
1/-2 is the slope
Step-by-step explanation:
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
<h3>What is Geometry?</h3>It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
More about the geometry link is given below.
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Answer:
Anthony must scoop out of the sink 85 cups of water to empty it
Step-by-step explanation:
<em>The formula of the volume of a sphere is </em><em> , where r is its radius</em>
<em>The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height</em>
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∵ The sink is shaped like a half-sphere
∵ The sink has a volume of 1072 in³
∵ One cup has a diameter of 2 in
- The radius is half the diameter
∴ The radius of the cup = × 2 = 1 in.
∵ The height of the cup is 4 in
- Find the volume of the cup using the 2nd formula above
∴ V = π(1)²(4) = 4π in³
<em>To find the number of cups that Anthony use to scoop out of the sink to empty it divide the volume of the sink by the volume of the cup</em>
∵ The volume of the sink = 1072 in³
∵ The volume of the cup = 4π in³
∴ The number of the cups = 1072 ÷ 4π
∴ The number of the cups = 85.3070495
- Round it to the nearest whole number
∴ The number of cups is 85
Anthony must scoop out of the sink 85 cups of water to empty it