Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
Answer:
YZ = 1
XY = 1.5
XYZ 1.33
Step-by-step explanation:
Answer:
The figure will result is cone ⇒ B
Step-by-step explanation:
<em>When a </em><em>right triangle is rotated about its vertical leg 360°</em><em>, then it formed </em><em>a cone</em><em> its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle</em>
<em />
In the given figure
∵ Triangle TRE is a right triangle
∴ The horizontal leg is RE
∴ The vertical leg is TR
∵ The triangle is rotated around the horizontal leg RE 360°
∴ It formed a cone its radius = TR and its height = RE
∴ The figure will result is the cone
Answer:
x^2+8x+15
Step-by-step explanation:
You can use FOIL method
(x*x)+(x*5)+(3*x)+(3*5)
x^2+5x+3x+15
x^2+8x+15
The <em><u>correct answer</u></em> is:
$236
Explanation:
Her annual property taxes are $1200. This means her escrow each month needs to have 1/12 of that amount; 1200/12 = $100 needs to be in the account each month.
Her mortgage insurance is $66 per month; this means a total of $100+66 = $166 needs to be in escrow every month.
Her homeowner's insurance is $840 per year; this means 1/12 of that needs to be in her escrow account each month:
840/12= 70
This gives us a total of $166+$70 = $236