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inna [77]
3 years ago
9

Help please..........

Mathematics
1 answer:
Yuri [45]3 years ago
8 0

Answer:

Step-by-step explanation:

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The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
3 years ago
HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
What is 12tenths+9tenths=_tenths=_ones_tenths
MArishka [77]
12/10 + 9/10 = 21/10

21/10 simplified is 2 1/10
7 0
3 years ago
Use the functions to find x
suter [353]

Answer:

x = 14

Step-by-step explanation:

f(x) = 10 -  \frac{9}{2} x \\  \\ plug \: f(x) =  - 53 \\  \\  - 53 = 10 -  \frac{9}{2} x \\  \\ \frac{9}{2} x  = 10 + 53 \\  \\ \frac{9}{2} x  = 63 \\  \\ x = 63 \times  \frac{2}{9}  \\  \\ x = 7 \times 2 \\  \\ x = 14

5 0
3 years ago
What is the missing term in the factorization of 2x2 + 5x + 3?<br><br> (2x + 3)(x + )
nata0808 [166]
(x + 1)

As:

(2x + 3)(x + 1) = 2x2 + 2x + 3x + 3

= 2x2 + 5x + 3
3 0
3 years ago
Read 2 more answers
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