Question

The volume of a frustum of a cone is 1176pi m3. If the radius of the lower base is 10 m. and the altitude is 18 m. Compute for the total surface area of the frustum.

Answer #1

A circular cone is 10 cm wide at the base and has a slant height
of 8.5 cm. Determine:
a. Volume of the cone =
b. Total surface area of the cone =
c. The angle the slant height makes with the base diameter =
d. The cylinder shown here has the same height and base radius
as the cone, by what percent the volume of
the cylinder exceeds the volume of the cone?

2. A cylinder is inscribed in a right-circular cone of altitude
12cm, and a base with radius of 4cm. Find the dimensions of the
cylinder that will make the total surface area a maximum.

Determine the total surface area of a cone that has a circular
base of radius 3 cm if the lateral portion of the cone (the side
that does not include the base) is made from a half-circle. Explain
your reasoning.

What is the radius (in inches) of the base of a cone that will
have the smallest possible surface area for a volume of 12.7 oz.?
Vcone = 1/3πr2h SAcone = πr(r2+h2)1/2 + πr2 1 oz = 1.80468751 in3
Check your formulas with these values: for r=2 in and h=4 in,
V=16.755 in3 and SA=40.666 in2

Cones come in a few varieties, and we will consider the right
circular cone. A cone with a circular base is a circular cone. A
circular cone whose axis is perpendicular to the base is a right
circular cone.
1.Create a new class called
.Include a Javadoc comment at the top of the class. The Javadoc
comment should contain:
i.The name of the class and a (very) short description
ii.An @author tag followed by your name
iii.An @version tag followed...

The radius and the height of a circular cone was measured and
found to be 10 cm and 30 cm with possible errors in measurement of
at most 0.1 cm and 0.05 cm respectively. What is the largest
possible error in using these values to compute the volume of the
cone?

please please answer all of them
1. The lateral area of a cone is 49
in2 with a slant height of 7 in. Then the radius is
_____ in. Round answers to the nearest tenth.
2. The surface area of a cone with a radius of 3.3 cm and slant
height of 5 cm is _____ cm 2. Round answers to the
nearest tenth.
3. The surface area of a cone is 18.6 in2 with a
radius of 1.2 in....

Consider a right circular cone of volume V and 64 of volume
V/64. All cones have the same apex angle. What is the ratio of the
surface area of all the smaller cones to that of the large
cone??

3) If a hollow sphere has a volume of 49 m3 and the inner empty
space has a volume of 25 m3,
A) What is the outer radius?
B) What is the inner radius?
C) What is the outer surface area?
D) What is the weight of the sphere if the density is 0.917 ×
103 kg/m3
E) What is the sphere made of?

1. The surface area of a cone is 198pi square yards. The slant
height of the cone is twice the radius. What is the exact radius of
the cone, using correct units of measurement?
2. The surface area of a sphere is 36pi square cm. What is the
diameter of the sphere using the correct units of measurement?
3. The surface areas of two similar solids are 200 and 1152
square units. The volume of the larger one is 1728...

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