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3 years ago

An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

Mathematics

2 answers:

ycow [4]3 years ago

6 0

Answer: A. $\text{Volume}=2400\pi \text{cubic units.}$

Step-by-step explanation:

Given: Radius of cylinder = 10 units

Slant height = 26 units

Now, height of the cylinder is given :-

$\text{Height}=\sqrt{26^2-10^2}=24\ \text{units}$

Now, by Cavalieri's Principle ,

$\text{Volume}=\pi r^2 h$ , h is the height of the cylinder.

$\text{Volume}=\pi (10)^2 (24)=2400\pi \text{ cubic units.}$

Rom4ik [11]3 years ago

3 0

Answer:

A.2,400π cubic units

Step-by-step explanation:

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Two points in the xy plane have cartesian coordinates (1.50, −3.00) m and (−7.50, 7.50) m. (a) determine the distance between th

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I don’t really get this one.<br> Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

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