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3 years ago

Work out the volume of this sphere?

Mathematics

1 answer:

ale4655 [162]3 years ago

4 0

Answer:

1436.8 cm^3

Step-by-step explanation:

You just plug it in:

r = 7 since it is the radius

Volume = (4 / 3) pi x r^3

Volume = (4 / 3) pi x (7)^3

Volume = 1436.75 = 1436.8 cm^3 (nearest tenth)

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A cone-shaped paper drinking cup is to be made to hold 33 cm3 of water. find the height and radius of the cup that will use the

alekssr [168]

The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm

6 0

3 years ago

It takes Ebru 131313 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7{:}157:157,

sdas [7]

Answer: 7:41 am

Step-by-step explanation:

It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.

= 13 * 2

= 26 minutes

If she leaves the house at 7:15 , she will arrive at:

= 715 + 26

= 7:41 hours

3 0

2 years ago

In triangle ΔABC, ∠C is a right angle and CD is the height to AB . Find the angles in ΔCBD and ΔCAD if: Chapter Reference a m∠A

Strike441 [17]

Answer:

Given A triangle ABC in which

∠C =90°,∠A=20° and CD ⊥ AB.

In Δ ABC

⇒∠A + ∠B +∠C=180° [ Angle sum property of triangle]

⇒20° + ∠B + 90°=180°

⇒∠B+110° =180°

∠B =180° -110°

∠B = 70°

In Δ B DC

∠BDC =90°,∠B =70°,∠BC D=?

∠BDC +,∠B+∠BC D=180°[ angle sum property of triangle]

90° + 70°+∠BC D =180°

∠BC D=180°- 160°

∠BC D = 20°

In Δ AC D

∠A=20°, ∠ADC=90°,∠AC D=?

∠A + ∠ADC +∠AC D=180° [angle sum property of triangle]

20°+90°+∠AC D=180°

110° +∠AC D=180°

∠AC D=180°-110°

∠AC D=70°

So solution are, ∠AC D=70°,∠ BC D=20°,∠DB C=70°

5 0

3 years ago

F(x) = x^2 + 2x – 4<br> f(3) = ?

Ostrovityanka [42]

Answer:

Step-by-step explanation:

f(3)=(3)^2+2(3)-4

f(3)=9+2(3)-4

f(3)=9+6-4

f(3)=15-4

f(3)=11

8 0

3 years ago

The graph of ƒ(x) = -√x is shifted to the right five units. The domain of the function represented by this graph is x ≥>≤<

Mars2501 [29]

Answer:

Domain = [5,∞)

Step-by-step explanation:

Given: $f(x)=-\sqrt{x}$

We are given that f(x) is shifted right by 5 units.

Rule : f(x)→f(x-b)

The graph f(x) shifted b units right

So, using rule : $-\sqrt{x}$ → $-\sqrt{x-5}$

So, $g(x)=-\sqrt{x-5}$

Now to find domain:

$x-5>0$

$x>5$

So, Domain = [5,∞).

8 0

3 years ago