TC

If the height of hemisphere and cone is 49cm and height of cone is 35cm find the volume of solid.

  1. 👍
  2. 👎
  3. 👁
  1. Assuming that the two parts share no common volume, then just add up the volumes, using the normal formulas:

    Clearly, the radius of the hemisphere (and the base of the cone) is 49-35=14cm

    So, the volume is just

    (1/2)(4/3)(pi)(14^3) + (1/3)(pi)(14^2)(35) = 4116 pi

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger cone, and its base is parallel to the base of the larger cone. If you choose the upside-down cone to

  2. math

    Two right circular cone, one upside down in the other. The two bases are parallel. The vertex of the smaller cone lies at the center of the larger cone’s base. The larger cone’s height and base radius are 12 and 16 ft,

  3. math

    A small cone of height 8 cm is cut off from a bigger cone to leave a frustum of height 16 cm. If the volume of the smaller cone is 160 cm'. find the volume of the frustum.

  4. Calculus

    Wheat is poured through a chute at the rate of 10 ft^3/min and falls in a cone-shaped pile whose bottom radius is always half its height. How fast is the height of the cone increasing when the pile is 8 feet high? Volume of a

  1. Maths

    the diagram shows a composite solid consisting of cone and a hemisphere.the cone has a height of 10 cm a base diameter of 12 cm .Find volume. Of the whole solid.

  2. Math

    a cone and a hemisphere share the base that is a semicirclee with radius 3 and the cone is inscribed inside the hemisphere. find the volume of the region inside the hemisphere

  3. 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.

  4. Surfaces of cones

    The diameter of the base of the cone is 24x cm. The height of the cone is 16x cm. The curved surface area of the cone is 2160pi cm^2. The volume of the cone is V pi cm^3, where V is an integer. What is the value of V. Answer is

  1. ap Calculus

    A right circular cone has a fixed slant height, s= 12 inches. Determine the radius and the height of the cone with maximum volume

  2. Math

    A sphere is inscribed in a right cone. The slant height of the cone = the diameter of the base of cone. If the radius of the sphere is r, find the volume of the cone in terms of r.

  3. Maths

    “A solid consists of a right circular cylinder surmounted by a cone of the same diameter. If the height of the cone is 'h' and the volume of the solid is 3 times the volume of the cone , then find the height of the cylinder.”

  4. Math

    the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y.

You can view more similar questions or ask a new question.