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3 years ago

What is the volume of a sphere with a radius of 25.6 cm, rounded to the nearest tenth of a cubic centimeter?

Mathematics

1 answer:

NARA [144]3 years ago

8 0

You sure that’s the radius and not diameter? But if it is, the volume would be 70,276.2 cm

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Tyler is 8 years old. His sister Olivia is 4 years less than twice his age. Write a numerical expression for Olivia's age in the

Marat540 [252]

Numerical expression:

2 * 8 - 4 or 12

Good luck :)

6 0

4 years ago

Oblicz.Pamiętaj o kolejności wykonywania działań

SashulF [63]

Answer:

33.275

Step-by-step explanation:

1 step: Difference in brackets

$3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}$

2 step: $0.75\div\dfrac{1}{3}$

$0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}$

3 step: $1.28\div 0.04$

$1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}$

4 step:

$2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}$

5 step:

$\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275$

6 0

3 years ago

Cannonballs are stacked In a pyramid shape with a base of 5 cannonballs on a side. How many cannonballs in all are in the stack

Vadim26 [7]

Answer:

The total number of balls in the pyramid will be 55.

Step-by-step explanation:

Cannonballs are stacked In a pyramid shape with a base of 5 cannonballs on a side.

Therefore, at the base, the number of balls is 5².

In the layer above the base layer, there are 4 balls on each side.

So, in the layer above the base layer, the number of balls is 4².

Similarly, in the next levels, the number of balls will be 3², 2² and 1.

Therefore, the total number of balls in the pyramid will be (5² + 4² + 3² + 2² + 1) = 55. (Answer)

3 0

3 years ago

Use the law of cosines to find the length of side C.

sergij07 [2.7K]

Answer:

$\text{D. 36.64}$

Step-by-step explanation:

The Law of Sines is given by $\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$ and works for any triangle.

Therefore, we have the proportion:

$\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}$

8 0

3 years ago

A long solenoid with radius r = 7 cm and n = 3,170 turns/m carries a current i = 6. 7 a. What is the magnitude of the magnetic f

kondaur [170]

The magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

<h3>Magnetic field inside solenoid</h3>

The magnetic field inside the central area of the solenoid is given by B = μ₀ni where

μ₀ = permeability of free space = 4π × 10⁻⁷ Tm/A,
n = number of turns per unit length = 3,170 turns/m and
i = current in solenoid = 6.7 A

Since B = μ₀ni

Substituting the values of the variables into the equation, we have

B = μ₀ni

B = 4π × 10⁻⁷ Tm/A × 3,170 turns/m × 6.7 A

B = 4π × 10⁻⁷ Tm/A × 21239 A-turns/m

B = 84956π × 10⁻⁷ T

B = 266897.15 × 10⁻⁷ T

B = 0.026689715 T

B ≅ 0.0267 T

So, the magnitude of the magnetic field in the central area inside the solenoid, in T is 0.0267 T

Learn more about magnetic field inside a solenoid here:

brainly.com/question/25562052

6 0

2 years ago