Two cylinders, a and b, are mathematically similar. the height of b is twice the corresponding height of a. the volume of a is 13 cm^3. find the volume of b.

104 cm^3

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of linear dimensions for similar figures. Since the height of B is 2 times the height of A, the volume of B will be 2^3 = 8 times the volume of A, so is ...

8·13 cm^3 = 104 cm^3

The volume of B is 39cm³

Step-by-step explanation:

Volume of cylinder A

Va = 1/3πr²ha ...(1)

Where height of A is ha

If the height of B is twice the corresponding height of A

hb = 3ha

Volume of B Vb = 1/3πr²(3ha)...(2)

If volume of A is 13cm³ and

Va = 1/3πr²ha

Then 13 = 1/3πr²ha

39 = πr²ha

πr² = 39/ha ... (3)

To get Vb, we wil substitute equation 3 into 2 to have;

Vb = 1/3(39/ha)(3ha)

Vb = 39/ha × ha

Vb = 39cm³

x= 3^y

step-by-step explanation:

for future students the answer is b

hope i

-lavira: )