A cylindrical flower vase is 3 inches across the top and about 8 inches high. How many cubic inches of water could it hold (Use 3.14 for pi as needed. Round to the nearest hundredth)?
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To find the volume of the rectangular shed, we simply need to multiply its length, width, and height together.
Volume = Length x Width x Height
Volume = 6 ft x 4 ft x 5 ft
Volume = 120 cubic feet
Therefore, the shed contains about 120 cubic feet.
The area inside the square and outside the circle can be found by subtracting the area of the circle from the area of the square. Since we know that the square has sides of 12 meters, its area can be calculated as:
Area of Square = side x side
Area of Square = 12 m x 12 m
Area of Square = 144 square meters
To find the area of the circle, we need to first determine the radius of the circle. The radius is half the width of the square, or 6 meters. Using this value, the area of the circle can be calculated as:
Area of Circle = π x radius^2
Area of Circle = 3.14 x 6^2
Area of Circle = 113.04 square meters
Therefore, the area inside the square and outside the circle is:
Area inside square and outside circle = Area of Square - Area of Circle
Area inside square and outside circle = 144 square meters - 113.04 square meters
Area inside square and outside circle = 30.96 square meters
So the final answer is 30.96 square meters.
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
Given that the vase is 3 inches across the top, we can find the radius by dividing the diameter by 2:
r = 3/2 = 1.5 inches
The height of the vase is given as 8 inches.
Using the formula, we have:
V = πr^2h
V = 3.14 x 1.5^2 x 8
V = 56.52 cubic inches
Therefore, the vase can hold about 56.52 cubic inches of water. Rounded to the nearest hundredth, this is 56.52 ≈ 56.51 cubic inches.
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Three people build a rectangular shed 6 ft wide, 4 ft long, and 5 ft high. About how many ft^3 does the shed contain?
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A gift box has the shape of a rectangular prism. How much wrapping paper do you need to cover the box if it is 6 inches tall, 14 inches wide, and 15 inches length
We need to find the surface area of the rectangular prism in order to determine how much wrapping paper is needed. The surface area of the rectangular prism is the sum of the area of each of its six rectangular faces.
The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where l is the length, w is the width, and h is the height.
Given the dimensions of the gift box as 6 inches tall, 14 inches wide, and 15 inches length, we can substitute these values and calculate the surface area as:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(14 x 15) + 2(6 x 15) + 2(6 x 14) [Multiplying across the brackets]
Surface Area = 420 + 180 + 168
Surface Area = 768 square inches
Therefore, we need 768 square inches of wrapping paper to cover the gift box.
Find the area inside the square and outside the circle. Use 3.14 for pi . if all sides for the square are 12 m
What is the first step when finding the median of a data set? The annual salaries of the employees of a local cable television office are shown below. Find the mean and median annual salaries.
$41,900
$24,200
$20,700
$36,400
$18,300
$21,100
What is the first step when finding the median of a data set?
A.Subtract the least data value from the greatest data value.
B.Write the data values in order from least to greatest.
C.Find the sum of the data values.
D.Choose the middle value of the data set.