The axial section of the cylinder is a square whose diagonal is 4 cm. Find the total surface area of ​​the cylinder

Lucille Douglas 2022-09-13 Answered
The axial section of the cylinder is a square whose diagonal is 4 cm. Find the total surface area of ​​the cylinder
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

William Collins
Answered 2022-09-14 Author has 12 answers
The axial section of the cylinder is a square whose diagonal is 4 cm, then
side of the square by theorem pythagorean = 16 / 2 = 8 = 2 2
then the radius = 2
means S b a s i c = π R 2 , then
Area 2 bases = 4 π
S l a t e r a l   s u r f a c e = c i r c u m f e r e n c e h e i g h t
S l a t e r a l   s u r f a c e = 2 π R h = 2 π 2 2 2 = 8 π
S f u l l   s u r f a c e = 2 S b a s i c + S l a t e r a l   s u r f a c e = 4 π + 8 π = 12 π c m 2

We have step-by-step solutions for your answer!

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-02-15
a. What is the best way of determining whether the given equation is a circle? b. How will you describe the graphs of the equations that are not circles?
asked 2021-02-21
Identify the graph of the given nondegenerate conic sections: y212x4y+52=0
asked 2021-08-09
Find the equation of the graph for each conic in standard form. Identify the conic, the center, the vertex, the co-vertex, the focus (foci), major axis, minor axis, a2,b2, and c2?. For hyperbola, find the asymptotes. Sketch the graph. y2+4y2x+6=0
asked 2020-12-24

For Exercise,

a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola.

b. Graph the curve. c. Identify key features of the graph. That is. If the equation represents a circle, identify the center and radius.

If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity.

If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity.

If the equation represents a parabola, identify the vertex, focus, endpoints of the latus rectum, equation of the directrix, and equation of the axis of symmetry. x2 + y2  4x  6y + 1=0

asked 2021-08-10
Perform a rotation of axes to eliminate the xy-term. xy+5=0
asked 2021-01-25

Find the equation of the graph for each conic in standard form. Identify the conic, the center, the co-vertex, the focus (foci), major axis, minor axis, a2,b2, and c2. For hyperbola, find the asymptotes 9x2  4y2 + 54x + 32y + 119=0

asked 2020-12-03
Instructions: Graph the conic section and make sure to label the coordinates in the graph. Include all the calculations needed to complete the graph. Give the standard form (SF) and the general form (GF) of the conic sections.HYPERBOLA:1) The vertices are at (-2, 0) and (2, 0). The conjugate axis' length is 6.

New questions