The Slant height and diameter of a cone measure 20 cm. Find the volume of the cone. Round the the nearest tenth.

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Step-by-step explanation:

Find the volume of a cone with a diameter of 20m and a slant height of 26m.

Volume Formula of a Cone: V = pi(radius^2)(h/3)

Diameter: 20m

Slant Height (Height): 26m

Plug it in:

V = 3.14(10^2)(26/3)

V = 314(26/3)

Solve:

V = 314(0.87)

V = 273.18

Volume = 273.18

Round:

Volume = 273m^3

The volume of the cone is 273m^3 to the nearest whole number.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5