lucyandmonty lucyandmonty

04-10-2020
Mathematics

contestada

Maths

Last year Gill’s cylindrical 21st birthday cake wasn’t big enough to feed all her friends. This year she will double the radius and triple the height. What will be the ratio of the volume of this year’s birthday cake to the volume of last year’s cake?

Respuesta :

mhanifa mhanifa

05-10-2020

Answer:

12 : 1

Step-by-step explanation:

The volume of a cylinder:

V = πr²h, where r-radius, h-height

New dimensions of the cake:

r1 → 2r and h1→ 3h

The volume of the bigger cake:

V1 = π*(2r)²*(3h) = 12*πr²h = 12V
V1/V = 12

The ration of volumes is 12 : 1

Answer Link

Otras preguntas

Petrolyn motor oil is a combination of natural oil and synthetic oil. it contains 8 liters of natural oil for every 5 liters of synthetic oil. in order to make

The first person to propose that the scientific method could be applied to the study of social life was ________.

800x200 I know the answer is 160000 but I want to see how quick you guys answer...

A test rocket is launched vertically from ground level (y = 0 m), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn ph

Which of the following best describes Wilson's 14 Points Plan? Select one: a. it was his plan that would allow full political rights for all women and Africa

Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cub

What adds more evidence to the idea that the cell is the basic unit of life?

Who used the technique of horizontal integration to dominate the American steel industry in the late 1800s?

What is 5.928301 to 2 decimal places?

Lucy is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a red, and an orange marble. There is also a fair 6

Q&A Education