Tutors Answer Your Questions about Surface-area (FREE)
Question 1209484: (23) Trapezoid ABCD has diagonals that cross at E. The area of triangle EDC is n². If AB has length m and DC has length n, find the area of trapezoid ABCD in terms of m and n.
Diagram: https://ibb.co/svwxc0w
Click here to see answer by CPhill(1959)   |
Question 1188936: water flows into a tank havingthe form of frustum of a right circular cone. The tank is 4m tall with upper radius of 1.5 m and the lower radius of 1 m.when the water in the tank is 1.2 m deep the surface rises at the rate of 0.012 m/s . Calculate the discharge of water flowing into the tank in m3/s.
Click here to see answer by CPhill(1959) |
Question 1188936: water flows into a tank havingthe form of frustum of a right circular cone. The tank is 4m tall with upper radius of 1.5 m and the lower radius of 1 m.when the water in the tank is 1.2 m deep the surface rises at the rate of 0.012 m/s . Calculate the discharge of water flowing into the tank in m3/s.
Click here to see answer by ikleyn(52781)  |
Question 1178894: compressair company provides cylindrical tanks of compressed air for divers. There standard tank is a cylinder with a volume of 0.015 m^3. Each cylinder is 75cm long and is designed to fit into a special diver's pack.
a) what is the diameter of the cylinder, to the nearest centimetre
b) compressair staff are designing a new cylinder that also has a volume of 0.015 m^3, but uses less material to make. What are the dimensions of the new cylinder, to the nearest tenth of a centimetre? What is the surface area, to the nearest square centimetre?
c)compressair plans to ship 20 of its standard 75-cm-long cylinders upright in a closed rectangular reinforced cardboard box. Staff are considering packing the cylinders in identical rows or in staggered rows, as shown below. Which packing arrangement will require the box of least volume and surface area
box a: identical 5 on the top 4 going down
box b: staggered 5 on the top 4 going down
Click here to see answer by CPhill(1959) |
Question 1178894: compressair company provides cylindrical tanks of compressed air for divers. There standard tank is a cylinder with a volume of 0.015 m^3. Each cylinder is 75cm long and is designed to fit into a special diver's pack.
a) what is the diameter of the cylinder, to the nearest centimetre
b) compressair staff are designing a new cylinder that also has a volume of 0.015 m^3, but uses less material to make. What are the dimensions of the new cylinder, to the nearest tenth of a centimetre? What is the surface area, to the nearest square centimetre?
c)compressair plans to ship 20 of its standard 75-cm-long cylinders upright in a closed rectangular reinforced cardboard box. Staff are considering packing the cylinders in identical rows or in staggered rows, as shown below. Which packing arrangement will require the box of least volume and surface area
box a: identical 5 on the top 4 going down
box b: staggered 5 on the top 4 going down
Click here to see answer by ikleyn(52781) |
Question 1170303: In the cube illustrated, the length of line GH is 34 cm. Point G is the midpoint of line EF, while E and F are midpoints of line AC and line AB respectively. Find the surface area of the cube in cm^3
A) 3092
B) 4050
C) 4136
D) 3218
E) 3264
https://ibb.co/vmkfmPv
Click here to see answer by CPhill(1959) |
Question 1170042: Tank A and Tank B are rectangular prisms and are sitting on a flat table.
Tank A is 10 cm × 8 cm × 6 cm and is sitting on one of its 10 cm × 8 cm faces.
Tank B is 5 cm × 9 cm × 8 cm and is sitting on one of its 5 cm × 9 cm faces.
Initially, Tank A is full of water and Tank B is empty.
The water in Tank A drains out at a constant rate of 4 cm3/s.
Tank B fills with water at a constant rate of 4 cm3/s.
Tank A begins to drain at the same time that Tank B begins to fill.
(i) Determine after how many seconds Tank B will be exactly 1
3
full.
(ii) Determine the depth of the water left in Tank A at the instant when Tank
B is full.
(iii) At one instant, the depth of the water in Tank A is equal to the depth of
the water in Tank B. Determine this depth.
(b) Tank C is a rectangular prism that is 31 cm × 4 cm × 4 cm.
Tank C sits on the flat table on one of its 31 cm × 4 cm faces.
Tank D is in the shape of an inverted square-based pyramid, as shown. It is
supported so that its square base is parallel to the flat table and its fifth vertex
touches the flat table.
The height of Tank D is 10 cm and the side length of its square base is 20 cm.
Initially, Tank C is full of water and Tank D is empty.
Tank D begins filling with water at a rate of 1 cm3/s.
Two seconds after Tank D begins to fill, Tank C begins to drain at a rate of
2 cm3/s.
At one instant, the volume of water in Tank C is equal to the volume of water
in Tank D.
Determine the depth of the water in Tank D at that instant.
Click here to see answer by CPhill(1959) |
Question 1210163: Solve for the area of the composite figure.
https://ibb.co/cXV52NVm
If an isosceles trapezoid CDFG was added below, where the height was the same as the triangle above and the bases had a length of 12 and 24, then what is the area of the new composite figure?
https://ibb.co/jZWQ628k
Click here to see answer by greenestamps(13200)  |
Question 1210163: Solve for the area of the composite figure.
https://ibb.co/cXV52NVm
If an isosceles trapezoid CDFG was added below, where the height was the same as the triangle above and the bases had a length of 12 and 24, then what is the area of the new composite figure?
https://ibb.co/jZWQ628k
Click here to see answer by ArschlochGeometrie(3) |
Question 1210163: Solve for the area of the composite figure.
https://ibb.co/cXV52NVm
If an isosceles trapezoid CDFG was added below, where the height was the same as the triangle above and the bases had a length of 12 and 24, then what is the area of the new composite figure?
https://ibb.co/jZWQ628k
Click here to see answer by mccravyedwin(407)  |
Question 1210167: A regular hexagon is below. Solve for the area of the hexagon.
https://ibb.co/dsnSzSLK
A watch has the SAME hexagonal face as the picture to the left. If the radius of the circle is 4, then what is the area between the hexagon and circle?
https://ibb.co/ynkmvtbs
Click here to see answer by mccravyedwin(407) |
Question 1210167: A regular hexagon is below. Solve for the area of the hexagon.
https://ibb.co/dsnSzSLK
A watch has the SAME hexagonal face as the picture to the left. If the radius of the circle is 4, then what is the area between the hexagon and circle?
https://ibb.co/ynkmvtbs
Click here to see answer by ArschlochGeometrie(3) |
Question 1210164: If an isosceles trapezoid CDFG was added below,
where the height was the same as the triangle
above and the bases had a length of 12 and 24,
then what is the area of the new composite igure?
https://ibb.co/jZWQ628k
Click here to see answer by ikleyn(52781) |
Question 1210165: If an isosceles trapezoid CDFG was added below,
where the height was the same as the triangle
above and the bases had a length of 12 and 24,
then what is the area of the new composite figure?
https://ibb.co/jZWQ628k
Click here to see answer by ikleyn(52781) |
Question 1210245: Evaluate the double integral by converting it into polar coordinates: integral from 1 to 2 integral from 0 to sqrt (2x - x^2) (x^2y + y^3) dy dx
I can get the answer using rectangular coords as 47/60, but conversion into polar and evaluation gets me the wrong answer. I can't seem to get the correct limits or whatever.
Click here to see answer by CPhill(1959) |
Question 1210280: A regular hexagon is below. Solve for the area of the hexagon.
https://ibb.co/dsnSzSLK
A watch has the SAME hexagonal face as the picture to the left. If the radius of the circle is 4, then what is the area between the hexagon and circle?
https://ibb.co/ynkmvtbs
Click here to see answer by ikleyn(52781) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840
|
