ISEE Upper Level (grades 9-12) Quantitative Reasoning - Spheres

1

is a positive number. Which is the greater quantity?

(A) The volume of a cube with edges of length

(B) The volume of a sphere with radius

2

In terms of $\pi$ , give the volume, in cubic feet, of a spherical tank with diameter 36 inches.

3

In terms of $\pi$ , give the surface area, in square inches, of a spherical water tank with a diameter of 20 feet.

4

In terms of $\pi$ , give the volume, in cubic feet, of a spherical tank with diameter 36 inches.

5

is a positive number. Which is the greater quantity?

(A) The surface area of a sphere with radius

(B) The surface area of a cube with edges of length

6

In terms of $\pi$ , give the surface area, in square inches, of a spherical water tank with a diameter of 20 feet.

7

is a positive number. Which is the greater quantity?

(A) The surface area of a sphere with radius

(B) The surface area of a cube with edges of length

8

is a positive number. Which is the greater quantity?

(A) The volume of a cube with edges of length

(B) The volume of a sphere with radius

9

Sphere A has volume $972 \pi \textrm{ in}^{3}$ . Sphere B has surface area $400 \pi \textrm{ in}^{2}$ . Which is the greater quantity?

(a) The radius of Sphere A

(b) The radius of Sphere B

10

Sphere A has volume $972 \pi \textrm{ in}^{3}$ . Sphere B has surface area $400 \pi \textrm{ in}^{2}$ . Which is the greater quantity?

(a) The radius of Sphere A

(b) The radius of Sphere B

Spheres