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krok68 [10]
2 years ago
15

What is the volume of a cone with a base radius of 5 m and a height of 12 m

Mathematics
1 answer:
dolphi86 [110]2 years ago
7 0
Volume of a cone = [(pi)r^2(h)]:3 = [3.14 (25m^2)(12m)]:3 = 314in^3.
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Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.
Dmitry_Shevchenko [17]

Answer:

we know that

[the lateral area of a right circular cone]=pi*r*l

where

r--------------> the radius of the circle part of the cone

l--------------> the side (slant height) of the cone

r=6 ft

h=8 ft

Step 1

find the slant height of the cone

which is determined by using Pythagoras, since the cross section is a right triangle.

l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft

Step 2

find the lateral area

[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²

the answer is 188.4 ft²

7 0
3 years ago
HELP ME PLZ I NEED HELP
german

Answer:

A

Step-by-step explanation:

\frac{12}{a} = \frac{9}{b} => 12b = 9a

12 * 1.5 = 9 * 2

18 = 18

This option works

5 0
3 years ago
Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take
Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased 1\frac{1}{2} degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

1\frac{1}{2}=\frac{3}{2}

Now we will divide total temperature change (9) by average daily temperature change (\frac{3}{2}) to find number of days.

9\div\frac{3}{2}

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

9\cdot\frac{2}{3}

3\cdot2=6

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0
3 years ago
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The
Rzqust [24]

Answer:

17 feets 3 inches

Step-by-step explanation:

Given :

Converting the parameters to inches only:

Recall:

1 feets = 12 inches

Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches

Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches

Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches

(Tree's height / tree's shadow) = (man's height / man's shadow)

Let tree's height = x

x / 126 = 69 / 42

Solve for x

42x = 126 * 69

42x = 8694

x = 8694 / 42

x = 207 inches

207 / 12 = 17 feets 3 inches

8 0
3 years ago
3 ones 4 tenths and 2 hundredths as a decimal.
Yuri [45]

ones is before the decimal tenths is one place right of the decimal and hundreths is 2 places to the right of the decimal

 so answer would be 3.42

6 0
3 years ago
Read 2 more answers
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