Answer:
Volume of right cylinder= 150.72 cu cm
Volume of cone= 314.159 cu cm
Volume of pyramid with base area 16= 160 cu cm
Volume of pyramid with length 3 =48 cu cm
Step-by-step explanation:
Volume of right cylinder = πr²h= 22/7 (4)²3= 150.72 cu cm
Volume of a cone = 1/3 πr²h= 1/3 (22/7) (5)²(12)= 314.159 cu cm
Volume of a pyramid = 1/3 ah= 1/3(16) (30)= 160 cu cm (where a= area and h= height)
Volume of pyramid= 1/3 (3*3)(16)= 48 cu cm
Answer:
The length of the rectangle is 15 cm.
Step-by-step explanation:
breadth(b)=?
length(l)= 3+2b
perimeter(P)= 42 cm
Now,
P = 2 ( l+b )
or, 42= 2 ( 3+2b+b)
or, 42 = 2 ( 3+3b)
or, 
= 3+3b
or, 21 = 3+3b
or, 21-3 =3b
or, 18 = 3b
or, 
= b
or, 6 = b
Here, Breadth(b)= 6 cm
Length (l) = 3 + 2*6
= 3 + 12
=15 cm
Answer:
False
Step-by-step explanation:
<span>1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.
f(t) = 85 + 18t </span>⇒ y = 85 + 18x<span>
g(t) = 95 + 15t </span>⇒ y = 95 + 15x
y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3
y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145
x = 10/3 or 3 1/3
y = 145
