Mathematics: Acone has a diameter of 9 inches and a height of 12 inches. find the volume of the cone to the nearest tenth. . find the area of a circle with d = 19 km. use 3.14 for ππ. round to the nearest tenth. area is the number of cubic units needed to fill a space. true or false

Acone has a diameter of 9 inches and a height - id9123778807, strawberrymrmr756

Ответ:

rhonditah

09.01.2022

1)
The formula for calculating the cone volume is:
$V = \frac{ \pi *r^2*h}{3}$

Data:
V (volume) = ?
h (height) → h = 12 in
d (diagonal) = 9 in , if: d = 2*r , soon: 9 = 2*r → 2r = 9 → r = 9/2 → r = 4.5 in
Use: $\pi \approx 3.14$

Solving:
$V = \frac{ \pi *r^2*h}{3}$
$V = \frac{ 3.14 *4.5^2*12}{3}$
$V = \frac{ 3.14 *20.25*12}{3}$
$V = \frac{763.02}{3}$
$\boxed{\boxed{V = 254.34\:in^3}}\end{array}}\qquad\quad\checkmark$

2)
The circle area formula is: $A = \pi * r^2$

Data:
A (area) = ?
d (diagonal) = 19 Km , if: d = 2*r , soon: 19 = 2*r → 2r = 19 → r = 19/2 → r = 9.5 Km
Use: $\pi \approx 3.14$

Solving:
$A = \pi * r^2$
A = 3.14*9.5^2

$\boxed{\boxed{A = 283.385\:Km^2}}\end{array}}\qquad\quad\checkmark$

3) False, because it's the volume, the number of cubic units needed to fill a space.

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Ответ:

nathanphelps2468

05.12.2021

Mathematics

m ∠ABD = 140°

m ∠DBC = 40°

Step-by-step explanation:

∠ (15x - 4) + ∠(5x - 8) = 180°

15x - 4 + 5x - 8 = 180

20x -1 2 = 180

20x = 180 + 12

x = 9.6

m ∠ABD = 15x - 4 = 140°

m ∠DBC = 5x - 8 = 40°

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Acone has a diameter of 9 inches and a height of 12 inches. find the volume of the cone to the nearest tenth.

.
find the area of a circle with d = 19 km. use 3.14 for ππ. round to the nearest tenth.

area is the number of cubic units needed to fill a space. true or false

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