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Mrac [35]
2 years ago
7

The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder

?
A) 60π cm³

B) 50π cm³

C) 27π cm³

D) 36π cm³
Mathematics
2 answers:
Alik [6]2 years ago
8 0

Answer:

The correct option is option (A)

The volume of the metallic rod is 60π cm³.

Step-by-step explanation:

Cylinder:

  • It is three dimension shape.
  • The lateral surface area is 2πrh, r= radius, h= height
  • Total surface area = 2πrh+2πr²,
  • Volume = πr²h.

The radius of the base of metallic rod is 2 cm and its height is 15 cm.

Here r= 2 cm, h= 15 cm, \pi =\frac{22}7

The volume of metallic rod is

=πr²h

=π(2 cm)² (15 cm)

=π(4)(15) cm³

=60π cm³

snow_tiger [21]2 years ago
3 0

Answer:

A) 60π cm³

Step-by-step explanation:

Given:

The<u> radius </u>of the base of a metallic rod is<u> 2 centimetres</u>, and its<u> height is 15 centimetres.</u>

Question asked:

What is the<u> volume </u>of this cylinder?

<u>Solution</u>:

As we know''

Volume\ of\ cylinder=\pi r^{2} h

                                =\pi \times2\times2\times15\\ \\ =60\pi

Therefore, the volume of this cylinder will be 60\pi\ cm^{3}

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2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)
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Answer:

y = -2x + 10

Step-by-step explanation:

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Slope-Intercept Form: y=mx+b

m=\frac{8-0}{1-5}

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8 0
2 years ago
A triangular pyramid has a base with an area of 43 cm squared and lateral faces with bases of 10 cm and heights of 8.6 cm. What
Jet001 [13]

Answer:

The total surface area of triangular pyramid is 172 cm squared

Step-by-step explanation:

Triangular pyramid:

  • Number of faces 4.
  • Number of vertices of a triangular pyramid is 6.
  • The volume  is \frac13 AH. A= area of the pyramid's base and H= height of the pyramid.
  • The surface area of triangular pyramid B+L. B= area of base, L= area of lateral surface.

Given that, the area of the base is 43 cm squared. Lateral faces with bases of 10 cm and heights 8.6 cm.

The 3 sides of the triangular pyramid is triangle in shape.

The area of triangle is \frac12 \times base \times height.

The lateral surface area of the triangular pyramid is

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8 0
3 years ago
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jeka57 [31]

Answer:

y = 4

Step-by-step explanation:

8(y+4)-2(y-1)=70-3y

8y+32-2y+2=70-3y

Grouping of like terms

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Divide both sides by 9

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y=36/9

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Therefore, y = 4.

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