Section B, Q5 please answer, it is urgent

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

$V=\pi r^2h$

Substitute the given values.

$48=\pi r^2r$ (since r = h)

$48=\pi r^3$

$48=3.14 \times r^3$

Divide by 3.14 on both sides.

$$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}$

$$15.28=r^3$

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

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

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

6 0

3 years ago

Encuentre la suma: 564 + 3,598 =? 3,034 4,052 4,162 9,238

Scrat [10]

The answer is 4,162 for 564+3,598

5 0

3 years ago

Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross

AleksandrR [38]

Answer: See below

Step-by-step explanation:

To find the factor,

f(x) = 0

$\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}$

So,

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

Therefore,

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0

2 years ago

1.

PolarNik [594]

Question 1:

5z – 9 = 36

5z = 45

z = $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

5(2z + 4) = 0

10z + 20 = 0

10z = -20

z = $\frac{-20}{10}$

z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

4x – 8 – 4x = 9

-8 ≠ 9

Hence, the answer is A.

8 0

3 years ago

Read 2 more answers

This is VERY URGENT, so 50 points if you answer correctly!

mariarad [96]

Answer:

The circumference is 31.43 cm

The ratio of the circumference to the diameter is equal to 3:1

Step-by-step explanation:

Thed formular for the circumference of a circle is 2 $\pi$ r or $\pi$ d

where d = diameter and r = radius

if d = 10 cm, and $\pi$ = 3.143, then circumference of the circle can be given as

3.143*10 = 31.43 cm

The ratio of the circumference to the diameter can be given as 31.43:10

and that can be given as 3.143:1

or 3:1, for the nearest whole number

3 0

3 years ago