Why isn't the answer to TMUA-P1-MGEO-009 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MGEO-009 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MGEO-009?

No — calculators are banned in the TMUA. TMUA-P1-MGEO-009 is set for a no-calculator target of about 240 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MGEO-009?

TMUA-P1-MGEO-009 is Paper P1 · Geometry (specification code M-Geo), level 3. Drill more of the same topic from this page.

TMUA-P1-MGEO-009 — Paper P1 · Geometry · Level 3

P1M-GeoLevel 3~240s target

Spec: M-Geo · No calculator · ~240s

A right circular cone has base radius

5

cm and slant height

13

cm. What is its volume in cm

^3

Options

$65\pi$
$100\pi$
$300\pi$
$60\pi$
$25\pi$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: cone-volume, slant-height-trap. Name the trap first, work the stem by hand, then open the solution below.

Show solution

First find the vertical height:

h = \sqrt{13^2 - 5^2} = 12

. Then

V = \frac{1}{3}\pi(25)(12) = 100\pi

. Trap:

65\pi

is the curved surface area (

\pi r l

) — plausible if you grab the slant height formula instead of the volume one.

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Keep practising

Same topic · same level

P1M-GeoLevel 3

TMUA-P1-MGEO-015

Let a = (2, 5) and b = (-1, 3). What is |2a - b|?

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Open TMUA-P1-MGEO-015 →

TMUA-P1-MGEO-009 — Paper P1 · Geometry · Level 3

Options

Keep practising

Master Geometry

TMUA-P1-MGEO-009 — Paper P1 · Geometry · Level 3

Options

Keep practising

Master Geometry