Question

The radius and the height of a circular cone was measured and found to be 10...

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?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A circular cone is 10 cm wide at the base and has a slant height of...
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?
A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the...
A cylinder is inscribed in a right circular cone of height 2.5 and radius (at the base) equal to 6.5. What are the dimensions of such a cylinder which has maximum volume? Asking for both radius and height.
The dimeter of the base and the height of a cylindrical can are measured, and the...
The dimeter of the base and the height of a cylindrical can are measured, and the measurement are known to have errors of at most 0.5cm. if the dimeter and height are taken to be 4cm and 6cm, respectively, estimate the maximum possible error in a- the volume V of the cylindrical. b- the surface area S of the cylindrical.
A paper cup in the shape of a cone with height 5 cm and radius 3...
A paper cup in the shape of a cone with height 5 cm and radius 3 cm with the point of the cone at the bottom. A small leak develops in the cup causing water to leak out at a rate of 0.1 cm3/s. Find the rate at which the height of the water in the cup changes when the depth of the water is 2 cm. Recall that the volume of a cone is v=1/3(pi)(r2)h
1. The surface area of a cone is 198pi square yards. The slant height of the...
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...
The radius of a right circular cone is decreasing at a rate of 1.5cm/sec and the...
The radius of a right circular cone is decreasing at a rate of 1.5cm/sec and the height is increasing at a rate of 5cm/sec. At what rate is the volume changing when the height is 12cm and the radius 2cm? Leave your answer in terms of pi.
The length, width, and height of a box are measured as 5 ft, 3 ft, and...
The length, width, and height of a box are measured as 5 ft, 3 ft, and 7 ft, respectively, with an error in measurement of at most 0.1 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.
A tank in shape of an inverted right circular cone has height 10 m and radius...
A tank in shape of an inverted right circular cone has height 10 m and radius 10 m. it is filled with 7 m of hot chocolate. Find the work required to empty the tank by bumping the hot chocolate over the top. density of chocolate equal 1510kg/m^3
A right circular cylinder is measured to have a mass of 1178.0 +/- 0.1 g, a...
A right circular cylinder is measured to have a mass of 1178.0 +/- 0.1 g, a diameter of 2.50 +/- 0.01 cm and a height of 30.48 +/- 0.01 cm. a. Look up the volume equation for a right circular cylinder. Remember that a radius is 1/2 the diameter. b. The density is mass divided by volume. Find the density using significant figures rules. c. Find the density with error bars using the max/min method. d. Using a table of...
The length, width, and height of a box are measured as 6 ft, 5 ft, and...
The length, width, and height of a box are measured as 6 ft, 5 ft, and 3 ft, respectively, with an error in measurement of at most 2/10 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box. *fraction form (exact asnwer) please, no decimals*