Plz helpp it important

Mathematics

1 answer:

diamong [38]3 years ago

5 0

Answer:

A.27

Step-by-step explanation:

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A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile

Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e $V = \frac{1}{3} B \cdot h$ = $\frac{1}{3} \pi r^2h$ ......[1]

,where B = $\pi r^2$

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

$\frac{38}{2} =\frac{2r}{2}$

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1] [ Use value of $\pi = \frac{22}{7}$ ]

then, we have:

$V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot \frac{22}{7} \cdot (19)^2 \cdot (14)$

V = $=\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot 2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}$

V = $\frac{15884}{3} =5,294.66667$ ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.

4 0

3 years ago

Haru is putting lace around the edge of a rectangular pillow case that has a

sleet_krkn [62]

Answer:

56.5 inches

Step-by-step explanation:

You want to find the perimeter (or the length around the rectangle) to find much lace he needs. the formula for perimeter is 2L+2W=P. L being length, w being width and p being perimeter. Plug in the values for the equation and get 2(12.75)+2(15.5)=P. Multiply and get 25.5+31=56.5.

6 0

2 years ago

What does it mean for a product of factors to be expressed using exponents

MrMuchimi

Example:

7x7x7x7x7x7x7x7x7x7x7x7=84
there are 12 sevens
u put the deleted number as the big number (7) and the number of repeated numbers as the smaller sized number which is called the exponent (12)