Question

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 cubic units. What is the volume of the smaller one?

4. The surface areas of two similar solids are 144 square centimeters and 16 square centimeters. What is the ratio of the large height to the small height?

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....

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?

1. Suppose that you are standing on the ground, under the flight
path of an airplane. The airplane is flying at an altitude of 10
km. Using a radar device, you are able to detect that the plane is
currently 26 km away from you, and that its distance to you is
currently shrinking at a rate of 840 kilometers per hour. What is
the current speed of the airplane?
Hint: use the Pythagorean theorem to express a relationship
between...

There are 2 different formulas to calculate body surface
area-the top one uses cm for height and kg for weight and the
bottom one uses inches and pounds. These must be completed using a
calculator-you cannot do them on a sheet of paper. Complete the
calculation inside the square root symbol and then hit the square
root key and that is the answer labeled as
m2
Please calculate the body surface area using the following
formula.
Body surface area is...

There are 2 different formulas to calculate body surface
area-the top one uses cm for height and kg for weight and the
bottom one uses inches and pounds. These must be completed using a
calculator-you cannot do them on a sheet of paper.
Complete the calculation inside the square root symbol and then
hit the square root key and that is the answer labeled as m2
Please calculate the body surface area using the following
formula.
Body surface area is...

240 square cm of metal is available to make a cylindrical can,
closed on the top and bottom. The can-making process is so
efficient that it can use all of the metal. What are the radius and
height of the can with the largest possible volume? Give exact
answers and approximate answers.
Volume of a cylinder: V = πr2h
Surface area of a cylinder: 2πr2 + 2πrh

MATH125: Unit 1 Individual Project Answer Form
Mathematical Modeling and Problem Solving
ALL questions below regarding SENDING A PACKAGE and PAINTING A
BEDROOM must be answered. Show ALL step-by-step calculations, round
all of your final answers correctly, and include the units of
measurement. Submit this modified Answer Form in the Unit 1 IP
Submissions area.
All commonly used formulas for geometric objects are really
mathematical models of the characteristics of physical objects. For
example, a basketball, because it is a...

A rectangular suppressed weir, 1 m in length is used
in a reservoir with an area of 50 square yards. During dry season,
it was requested for 40 cubic meters per second of water to be
discharged using the weir. If the discharge coefficient is 0.72 and
the initial head of the weir was 1.20 m, answer the following:
a, What will be the final head acting on the weir
after the said volume was discharged?
b. How long will...

1. A six-sided box has a square base and a surface area of 54
m^2. Let V denote the volume of the box, and let x denote the
length of one of the sides of the base. Find a formula for V in
terms of x.
2. What is the maximum possible volume of the box in Problem 1?
Note that 0< x≤3√3.

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