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:
7/20
Step-by-step explanation:
Answer:
324
Step-by-step explanation:
Given:
Find:
First, find f(x):
Now,
Answer:
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
Given,
Total cost of maths book and novel = $54
Let,
Cost of maths book = m
Cost of novel = n
According to given statement;
m+n=54 Eqn 1
the price of the math textbook, m, is $8 more than 3 times the price of the novel
m = 3n+8 Eqn 2
m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.
Step-by-step explanation:
Answer:
10000000000
Step-by-step explanation:
10000000000
:) Hope this helps
