Question

- 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.

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?

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....

Solve the composite shape for total surface area to determine
the amount of aluminum required for the construction of all the
components.
Isosceles Trapezoid Dimensions:
Upper base b1 = 2 cm
Lower base B2 = 4 cm
Height of trapezoid = __cm
Area of trapezoid = __cm^2
Triangle at Top of Isosceles Trapezoid:
Sides = 2 cm, 2.25 cm, 1.87 cm
Area:___cm^2
Triangle at Bottom of Isosceles Trapezoid:
Sides: 4 cm, 4.5 cm, 3.75 cm
Area = ___cm^2
Heron's Formula...

Water is poured into a conical container with height 4 in. and
base radius 4 in. When the height of the water in the container is
2.5 inches it is increasing at 3 in/min. At what rate is the
lateral surface area of the water changing when the height is 2.5
inches? The formula for the lateral surface area of the cone is
Slateral = πrs where s is the slant or lateral length.

A tank, shaped like a cone has height 99 meter and base radius
11 meter. It is placed so that the circular part is upward. It is
full of water, and we have to pump it all out by a pipe that is
always leveled at the surface of the water. Assume that a cubic
meter of water weighs 10000N, i.e. the density of water is
10000Nm^3. How much work does it require to pump all water out of
the...

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

determine which of these cylinders has the largest surface area
and show work
a. a cylinder with a height of 8cm and a base with a radius of
3cm
b. a cylinder with a height of 4 cm and a base with a radius of
8cm
c. a cylinder with a height of 8cm and a base with a radius of
4cm
d. a cylinder with a height of 6cm and a base with a radius of
3cm

The radius of a circular cylinder is increasing at rate of 3
cm/s while the height is decreasing at a rate of 4 cm/s.
a.) How fast is the surface area of the cylinder changing when
the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi
rh )
b.) Based on your work and answer from part (a),is the surface
area increasing or decreasing at the same moment in time? How do...

A tank in the shape of an inverted right circular cone has
height 7 meters and radius 3 meters. It is filled with 6 meters of
hot chocolate. Find the work required to empty the tank by pumping
the hot chocolate over the top of the tank. The density of hot
chocolate is δ=1080 kg/m^3. Your answer must include the correct
units.

A circular area with a radius of 7.20 cm lies in the x-y
plane.
1) What is the magnitude of the magnetic flux through this
circle due to a uniform magnetic field BBB = 0.213 TT that points
in the +z direction?
2) What is the magnitude of the magnetic flux through this
circle due to a uniform magnetic field BBB = 0.213 TT that points
at an angle of 53.7 ∘∘ from the +z direction?
3) What is the...

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