Answer:
<u>The radius of the cylinder and sphere is 2.48 cm and the volume of the sphere is 64 cm³</u>
Step-by-step explanation:
Let's review the information given to us to answer the question correctly:
Volume of a cylinder = π * r² * h
π * r² * h = 48
r² * h = 48/3.1416
r² * h = 15.28
r = 2.48 cm, h = 2.48 cm
Now, we can calculate the volume of the sphere this way:
Volume of the sphere = 4/3 * π * r³
Volume of the sphere = 4/3 * π * 2.48³
Volume of the sphere = 4/3 * π * 15.28
Volume of the sphere = 1.33 * 3.1416 * 15.28
<u>Volume of the sphere = 64 cm³</u>
This problem is a more like of a percentage increase problem. First, subtract 11 hours by the original hours which is 10 hours. Using mental math, subtracting 11 by 10 would be 1, obviously. Take the outcome of 1 and divide it by the hours he did last week which is 10. 1 divided by 10 would be equal to .1. Convert the decimal to a percentage and then you would get 10% and add it to 100%. So, yes, he is in fact correct.
Answer:
60.00 in^2
Step-by-step explanation:
First focus on the area ABOVE the dotted line. The shape here is that of a trapezoid. The two leg lengths are 12 in and 18 in (18 in is the diameter). At the far right of this trapezoid we can picture a triangle of base 3 in, height h and hypotenuse 5 in. Using the Pythagorean Theorem, we get h = 4 in.
This 4 in measurement is the width of the trapezoid. Thus, we are now ready to apply the formula for the area of a trapezoid: A = (average length of legs)*(width).
Here that area comes out to
12 in + 18 in
A = --------------------- * 4 in = 15 in*4in = 60 in^2, or (to the nearest hundredth)
2 60.00 in^2
Answer:
Step-by-step explanation:
Perimeter 4L = 28
Area L^2 = 49
Answer:
The Annual rate of interest for the mortgage is 1.8%
Step-by-step explanation:
Given as :
The mortgage principal = p = $167,000
The time period of mortgage = t = 20 years
The Amount paid towards mortgage in 20 years = A = $240,141
Let the Annual percentage rate on interest = r % compounded annually
Now, <u>From Compound Interest method</u>
Amount = Principal × 
Or, A = p × 
Or, $240,141 = $167,000 × 
or, 
=
Or , 1.437 =
Or, 
= 
or, 1.018 =
Or, 
= 1.018 - 1
Or, = 0.018
∴ r = 0.018 × 100
i.e r = 1.8
So, The rate of interest applied = r = 1.8 %
Hence, The Annual rate of interest for the mortgage is 1.8% Answer
