We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Answer:
332 ft²
Step-by-step explanation:
A rectangular garden measures 33 ft by 46 ft. Surrounding (and bordering) the garden is a path 2 ft. Find the area of this path. Be sure to include the correct unit in your answer.
Solution:
The area of the rectangular garden = length * breadth = 33 ft. * 46 ft. = 1518 ft²
Since the path surrounding the garden is 2ft, the length of the path with the garden = 46 + 2 + 2 = 50 ft
The width of the path with the garden = 33 + 2 + 2 = 37 ft.
Area of the path with the garden = length * breadth = 50 ft * 37 ft = 1850 ft².
Area of the path = 1850 ft² - 1518 ft.² = 332 ft²
Answer:
10^4
Step-by-step explanation:
10×10×10×10=10,000, which is given number.
The solution of the given equation represented in the task content can be determined by first evaluating the LCM and hence is; y= 27.
<h3>What is the solution of the equation as given in the task?</h3>
The given equation is; (y-5)/2=(y+6)/3.
Hence, by multiplying the equation by 6, we have;
3(y-5) = 2(y+6)
3y -15 = 2y +12
y = 27.
Hence, it follows that the value of y which is a solution to the equation is; y = 27.
Read more on equation solutions;
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Answer:
A. 50.24
Step-by-step explanation:
C=2πr=2·π·8=50.24
