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4 years ago

What is the volume of this sphere?

Mathematics

2 answers:

slavikrds [6]4 years ago

7 0

The figure shows a sphere with diameter 28 cm.

Radius = half of diameter

Radius = half of 28= 14 cm

The formula for volume of sphere is given by :

$V= \frac{4}{3} \pi r^{3}$

where r is radius of sphere.

Plugging the value of pi =3.14 and r=14cm in the formula,

$V= \frac{4}{3} (3.14) (14)^{3}$

On solving we get Volume =11488.21 cm³

Airida [17]4 years ago

3 0

11488, 4pi*r^2/3 is the formula

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Which is the solution of the quadratic equation (4y – 3)= 72?

polet [3.4K]

Answer:

Exact form: y=75/4 Decimal form: y=18.75 Mixed number form: y=18 3/4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

A speedboat can travel 24 miles on 3 gallons of

valkas [14]

Answer:

96 miles

Step-by-step explanation:

3 multiplied by what gives you 24?

8 right?

So, what you want to do is 8 multiplied by 12.

Doing so you will reach the conclusion that 12 multiplied by 8 equals 96.

So you can go 96 miles on a speedboat with 12 gallons of gas.

I hope this helped you :)

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2 years ago

You buy clothing at a sale you buy sneakers at 2/3 of their original price of $60 a sweater at 7/10 of its original price of $35

ozzi

Answer:

a. We spent all together 40.2+24.5+37.8=$102.50.

b. We saved 19.8+10.5+7.2=$37.50

c. $\frac{102.50}{140}$

Step-by-step explanation:

To find the amount we spend, we multiply the original price by the decimal conversion of each fraction. Then we add the amounts together.

Sneakers cost $60 and you bought them at 2/3=0.6666....

60(0.67)=$40.20 and saved $19.80

Sweater costs $35 and you bought it at 7/10=0.7

35(0.7)=$24.50 and saved $10.50

A jacket costs $45 and you bought it at 5/6=0.8333...

45(0.84)=$37.80 and saved $7.20

We spent all together 40.2+24.5+37.8=$102.50.

We saved 19.8+10.5+7.2=$37.50

We could of spent paying regular price 60+35+45=$140. To find the fraction we place the total we actually paid over the total regular price.

$\frac{102.50}{140}$

6 0

4 years ago

Read 2 more answers

What are the focus and directrix of the parabola that is the graph of the function f(x)=x²?

Hitman42 [59]

Answer:

Step-by-step explanation:

Given

$y=x^2$

comparing it with standard equation $x^2=4ay$

so 4a=1

$a=\frac{1}{4}$

so Focus of parabola is (0,0)

directrix

y=-a

here $a=\frac{1}{4}$

$y=-\frac{1}{4}$

5 0

4 years ago

What are the solutions of the equation x4 - 9x2 + 8 = 0? Use u substitution to solve.

Sedbober [7]

Answer:

$\large\boxed{B.\ x=\pm1\ and\ x=\pm2\sqrt2}$

Step-by-step explanation:

$x^4-9x^2+8=0\\\\x^{2\cdot2}-9x^2+8=0\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(x^2)^2-9x^2+8=0\\\\\text{substitute}\ x^2=t\geq0\\\\t^2-9t+8=0\\\\t^2-t-8t+8=0\\\\t(t-1)-8(t-1)=0\\\\(t-1)(t-8)+0\iff t-1=0\ \vee\ t-8=0\\\\t-1=0\qquad\text{add 1 to both sides}\\t=1\geq0\\\\t-8=0\qquad\text{add 8 to both sides}\\t=8\geq0$

$t=x^2\to x^2=1\ \vee\ x^2=8\\\\x^2=1\Rightarrow x=\pm\sqrt1\to x=\pm1\\\\x^2=8\Rightarrow x=\pm\sqrt8\to x=\pm\sqrt{4\cdot2}\to x=\pm\sqrt4\cdot\sqrt2\to x=\pm2\sqrt2$

4 0

3 years ago

Read 2 more answers