Consider the following toy made from a cone with height 14cm and a hemisphere (half of a sphere) with a radius of 13cm. Calculate the volume and total exterior surface area of the toy. 13сm 6.11 14cm 5.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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Consider the following toy made
from a cone with height 14cm and
a hemisphere (half of a sphere) with
a radius of 13cm. Calculate
the volume and total exterior
surface area of the toy.
5.
13сm
A barn is constructed as follows:
The room space is constructed as a
rectangular prism with a square base.
The length of one side of the base of the
prism is equal to 15 metres.
The height of the wall of the room is
20 metres. The roof is constructed
in the form of a right triangular pyramid
with a height of 10 metres.
The base of the roof is open. Calculate:
(a)
6.
right
roof
room
the slant height of the triangular face
of the pyramid.
the area of one of the triangular faces.
the total exterior surface area of the barn.
(b)
(c)
(d)
the volume of the barn.
14cm
Transcribed Image Text:Consider the following toy made from a cone with height 14cm and a hemisphere (half of a sphere) with a radius of 13cm. Calculate the volume and total exterior surface area of the toy. 5. 13сm A barn is constructed as follows: The room space is constructed as a rectangular prism with a square base. The length of one side of the base of the prism is equal to 15 metres. The height of the wall of the room is 20 metres. The roof is constructed in the form of a right triangular pyramid with a height of 10 metres. The base of the roof is open. Calculate: (a) 6. right roof room the slant height of the triangular face of the pyramid. the area of one of the triangular faces. the total exterior surface area of the barn. (b) (c) (d) the volume of the barn. 14cm
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