Calculus

posted by .

Please help me with the following 2 questions.

1. Find the area of the curved surface of a right-circular cone of radius 6 and height 4 by rotating the straight line segment from (0,0) to (6,4) about the y-axis.

2. Use the Maclaurin polynomial of degree 4 to approximate sin(0.2). The formula given is the sum between k = 0 and infinity of [-1^k]/(2k+1)!x^(2k+1). I tried using the following but got it wrong

0.2 - (0.2)^3/3! + (0.2)^5/5! - (0.2)^7/7! + (0.2)^9/9!.

Please help.
Thanks

  • Calculus -

    The area of a cone of radius r and slant height s is πrs

    r = 6
    s^2 = 6^2 + 4^2
    s = √52 = 2√13
    area = 12π√13


    For MacLaurin polynomials, I may be wrong, but I thought you wanted degree 4. That would just be

    0 + 1/1! x + 0/2! x^2 + -1/3! x^3 + 0/4! x^4
    = x - x^3/3!
    = .2 - .008/6 = 0.1987

  • Calculus -

    Thanks Steve.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATH214

    Find the surface area of a right circular cone topped with a hemisphere. the height of the cone is 8cm, the radius is 4cm.
  2. MATH214

    Find the surface area of a right circular cone topped with a hemisphere. the height of the cone is 8cm, the radius is 4cm.
  3. math

    A right circular cylinder of radius r and height h is inscribed in a right circular cone of radius R and height H, as shown on the right figure. Find the value of r (in terms of R and H) that maximizes the total surface area of the …
  4. maths --plse help me..

    Prove that the radius of the base of right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half that of the cone
  5. Calculus

    Approximate the change in the lateral surface area(excluding the area of the base) of a right circular cone fixed height of h = 6m when its radius decreases from r=9m to r=8.9m (S=(pi)r sqrt(r^2+h^2)).
  6. Calculus

    approximate the change in the lateral surface area(excluding the area of the base of a right circular cone of fixed height of h=6m when its radius decreases from r=11m to r=10.9m S=(pi)r sqrt(r^2+h^2)
  7. Maths

    (1) A cone has height of 8cm and circular radius 6cm calculate (a) It's Volume (b) It's Slant Height (c) The Curved Surface Area (d) The Total Surface Area
  8. Math

    A cone is formed from a sector of a circular of radius 9cm which sustained an angel 120 find (a) the radius of the cone formed (b) the curved surface area of the cone (c) the total surface (d) volume
  9. MATHEMATICS

    Find the curved and total surface area of a right circular cone,of base radius 8cm and height 10cm
  10. math class viii

    Q.1) The volume of a right circular cone is 37.68 dm3 .If the the base is 3 dm, find (1) the height (2) the curved surface area of the cone .( Take π=3.14)

More Similar Questions