Answer:
B. 
Step-by-step explanation:
Given:
A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters.
diameter of Sphere = 20 centimeters
hence radius = half of diameter = 
Hence we need to find the volume of sphere.
Volume of sphere = 
Here r is the radius of the circle.
Hence Volume of sphere =
Hence Option B is the correct answer.
Let's solve it step by step:
(we start with the innermost bracket: (25/5). This is equal to 5. :
25+{2[3+8-7(25/5)+11]} =
25+{2[3+8-7(5)+11]} =
now, we can multiply 7 and 5, which is 35
25+{2[3+8-35+11]} =
Now we can add all the numbers in the square bracket, 3,8 (that's 11), then -35 (which is -24) then 11 - all together it's -13
3+8-35+11=22-35=-13
25+{2[-13]} =
Multiplying 2 and -13
25+{-26} =25-26, which is -1
the final answer is -1
Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }
Cross multiply
EF * 15 = 27 * 7.5
EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles
AC = 37.5 cm
Answer:
April took out a loan of $600 and paid it back with simple interest of $60 after 5 years. The formula to calculate interest is given the principal and the time and the interest rate is . For this problem we have to find the interest rate given . To archive that , we can just solve the equation making the interest rate the subject of the formula as shown below,
I= Prt
=> r= I/Pt
=> r= 60/600x5 = 1/50
The interest rate is 1/50 or 0.02 as a decimal. The interest rate is 2% as a percentage.
